News <2014>

December 2014

December 30, 2014

Bob Price found 2 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
106	77323	57777	57w	(52·10⁷⁷³²²-7)/9	December 30, 2014	Bob Price
111	75028	57777	57w	(52·10⁷⁵⁰²⁷-7)/9	December 30, 2014	Bob Price

December 27, 2014

Serge Batalov found three near-repdigit PRPs. Three small primes of the form (10ⁿ+269)/9; n=2, 8 and 56 had been known. The next PRP was found at n=675470 after a long gap.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
2	718580	11141	1w41	(10⁷¹⁸⁵⁸⁰+269)/9	December 27, 2014	Serge Batalov
3	685224	11121	1w21	(10⁶⁸⁵²²⁴+89)/9	December 27, 2014	Serge Batalov
4	675470	11141	1w41	(10⁶⁷⁵⁴⁷⁰+269)/9	December 27, 2014	Serge Batalov

Bob Price found 2 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
91	87864	73333	73w	(22·10⁸⁷⁸⁶³-1)/3	December 27, 2014	Bob Price
109	75369	73333	73w	(22·10⁷⁵³⁶⁸-1)/3	December 27, 2014	Bob Price

December 26, 2014

Serge Batalov found 3 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
2	427912	11121	1w21	(10⁴²⁷⁹¹²+89)/9	December 26, 2014	Serge Batalov
7	249010	99979	9w79	10²⁴⁹⁰¹⁰-21	December 26, 2014	Serge Batalov
10	230706	11131	1w31	(10²³⁰⁷⁰⁶+179)/9	December 26, 2014	Serge Batalov

December 25, 2014

Serge Batalov found 78 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
8	224063	17111	171w	(154·10²²⁴⁰⁶¹-1)/9	December 25, 2014	Serge Batalov
9	221654	11131	1w31	(10²²¹⁶⁵⁴+179)/9	December 25, 2014	Serge Batalov
11	217362	12111	121w	(109·10²¹⁷³⁶⁰-1)/9	December 25, 2014	Serge Batalov
12	212781	18111	181w	(163·10²¹²⁷⁷⁹-1)/9	December 25, 2014	Serge Batalov
13	211610	11101	1w01	(10²¹¹⁶¹⁰-91)/9	December 25, 2014	Serge Batalov
14	201506	16111	161w	(145·10²⁰¹⁵⁰⁴-1)/9	December 25, 2014	Serge Batalov
15	200748	19111	191w	(172·10²⁰⁰⁷⁴⁶-1)/9	December 25, 2014	Serge Batalov
16	200001	33383	3w83	(10²⁰⁰⁰⁰¹+149)/3	December 25, 2014	Serge Batalov
17	195480	34333	343w	(103·10¹⁹⁵⁴⁷⁸-1)/3	December 25, 2014	Serge Batalov
18	194152	37333	373w	(112·10¹⁹⁴¹⁵⁰-1)/3	December 25, 2014	Serge Batalov
19	189385	33313	3w13	(10¹⁸⁹³⁸⁵-61)/3	December 25, 2014	Serge Batalov
20	188164	11151	1w51	(10¹⁸⁸¹⁶⁴+359)/9	December 25, 2014	Serge Batalov
22	183229	18111	181w	(163·10¹⁸³²²⁷-1)/9	December 25, 2014	Serge Batalov
23	181182	99979	9w79	10¹⁸¹¹⁸²-21	December 25, 2014	Serge Batalov
24	180979	99989	9w89	10¹⁸⁰⁹⁷⁹-11	December 25, 2014	Serge Batalov
25	178695	99929	9w29	10¹⁷⁸⁶⁹⁵-71	December 25, 2014	Serge Batalov
26	177756	15111	151w	(136·10¹⁷⁷⁷⁵⁴-1)/9	December 25, 2014	Serge Batalov
27	172864	38333	383w	(115·10¹⁷²⁸⁶²-1)/3	December 25, 2014	Serge Batalov
28	169339	17111	171w	(154·10¹⁶⁹³³⁷-1)/9	December 25, 2014	Serge Batalov
30	162155	38333	383w	(115·10¹⁶²¹⁵³-1)/3	December 25, 2014	Serge Batalov
31	159738	15111	151w	(136·10¹⁵⁹⁷³⁶-1)/9	December 25, 2014	Serge Batalov
32	157792	11151	1w51	(10¹⁵⁷⁷⁹²+359)/9	December 25, 2014	Serge Batalov
33	154871	38333	383w	(115·10¹⁵⁴⁸⁶⁹-1)/3	December 25, 2014	Serge Batalov
34	153812	17111	171w	(154·10¹⁵³⁸¹⁰-1)/9	December 25, 2014	Serge Batalov
35	153027	37333	373w	(112·10¹⁵³⁰²⁵-1)/3	December 25, 2014	Serge Batalov
36	150029	99959	9w59	10¹⁵⁰⁰²⁹-41	December 25, 2014	Serge Batalov
39	142699	11151	1w51	(10¹⁴²⁶⁹⁹+359)/9	December 25, 2014	Serge Batalov
40	142425	11151	1w51	(10¹⁴²⁴²⁵+359)/9	December 25, 2014	Serge Batalov
41	140359	37333	373w	(112·10¹⁴⁰³⁵⁷-1)/3	December 25, 2014	Serge Batalov
42	135011	11191	1w91	(10¹³⁵⁰¹¹+719)/9	December 25, 2014	Serge Batalov
43	134385	11191	1w91	(10¹³⁴³⁸⁵+719)/9	December 25, 2014	Serge Batalov
45	132339	37333	373w	(112·10¹³²³³⁷-1)/3	December 25, 2014	Serge Batalov
46	129051	33323	3w23	(10¹²⁹⁰⁵¹-31)/3	December 25, 2014	Serge Batalov
47	127860	32333	323w	(97·10¹²⁷⁸⁵⁸-1)/3	December 25, 2014	Serge Batalov
48	126841	35333	353w	(106·10¹²⁶⁸³⁹-1)/3	December 25, 2014	Serge Batalov
49	125792	11101	1w01	(10¹²⁵⁷⁹²-91)/9	December 25, 2014	Serge Batalov
50	125706	33383	3w83	(10¹²⁵⁷⁰⁶+149)/3	December 25, 2014	Serge Batalov
51	125294	19111	191w	(172·10¹²⁵²⁹²-1)/9	December 25, 2014	Serge Batalov
53	120782	33343	3w43	(10¹²⁰⁷⁸²+29)/3	December 25, 2014	Serge Batalov
54	120574	11151	1w51	(10¹²⁰⁵⁷⁴+359)/9	December 25, 2014	Serge Batalov
55	120397	37333	373w	(112·10¹²⁰³⁹⁵-1)/3	December 25, 2014	Serge Batalov
56	119880	11131	1w31	(10¹¹⁹⁸⁸⁰+179)/9	December 25, 2014	Serge Batalov
57	118324	11151	1w51	(10¹¹⁸³²⁴+359)/9	December 25, 2014	Serge Batalov
58	117059	99929	9w29	10¹¹⁷⁰⁵⁹-71	December 25, 2014	Serge Batalov
59	116612	16111	161w	(145·10¹¹⁶⁶¹⁰-1)/9	December 25, 2014	Serge Batalov
60	115796	32333	323w	(97·10¹¹⁵⁷⁹⁴-1)/3	December 25, 2014	Serge Batalov
61	114228	16111	161w	(145·10¹¹⁴²²⁶-1)/9	December 25, 2014	Serge Batalov
66	104212	99929	9w29	10¹⁰⁴²¹²-71	December 25, 2014	Serge Batalov
71	98890	33383	3w83	(10⁹⁸⁸⁹⁰+149)/3	December 25, 2014	Serge Batalov
81	89160	33343	3w43	(10⁸⁹¹⁶⁰+29)/3	December 25, 2014	Serge Batalov
90	83916	11161	1w61	(10⁸³⁹¹⁶+449)/9	December 25, 2014	Serge Batalov
92	81363	11191	1w91	(10⁸¹³⁶³+719)/9	December 25, 2014	Serge Batalov
93	81353	11161	1w61	(10⁸¹³⁵³+449)/9	December 25, 2014	Serge Batalov
98	77637	11151	1w51	(10⁷⁷⁶³⁷+359)/9	December 25, 2014	Serge Batalov
106	72097	33383	3w83	(10⁷²⁰⁹⁷+149)/3	December 25, 2014	Serge Batalov
110	71223	33353	3w53	(10⁷¹²²³+59)/3	December 25, 2014	Serge Batalov
114	68078	33353	3w53	(10⁶⁸⁰⁷⁸+59)/3	December 25, 2014	Serge Batalov
117	67404	11131	1w31	(10⁶⁷⁴⁰⁴+179)/9	December 25, 2014	Serge Batalov
119	66650	33383	3w83	(10⁶⁶⁶⁵⁰+149)/3	December 25, 2014	Serge Batalov
130	62451	33373	3w73	(10⁶²⁴⁵¹+119)/3	December 25, 2014	Serge Batalov
137	56781	33323	3w23	(10⁵⁶⁷⁸¹-31)/3	December 25, 2014	Serge Batalov
144	54038	33323	3w23	(10⁵⁴⁰³⁸-31)/3	December 25, 2014	Serge Batalov
145	53991	11131	1w31	(10⁵³⁹⁹¹+179)/9	December 25, 2014	Serge Batalov
146	53859	33383	3w83	(10⁵³⁸⁵⁹+149)/3	December 25, 2014	Serge Batalov
156	51652	33323	3w23	(10⁵¹⁶⁵²-31)/3	December 25, 2014	Serge Batalov
158	51364	33373	3w73	(10⁵¹³⁶⁴+119)/3	December 25, 2014	Serge Batalov
165	49806	33373	3w73	(10⁴⁹⁸⁰⁶+119)/3	December 25, 2014	Serge Batalov
171	48604	33323	3w23	(10⁴⁸⁶⁰⁴-31)/3	December 25, 2014	Serge Batalov
184	41908	33323	3w23	(10⁴¹⁹⁰⁸-31)/3	December 25, 2014	Serge Batalov
185	41756	33343	3w43	(10⁴¹⁷⁵⁶+29)/3	December 25, 2014	Serge Batalov
191	40984	33373	3w73	(10⁴⁰⁹⁸⁴+119)/3	December 25, 2014	Serge Batalov
193	40038	33323	3w23	(10⁴⁰⁰³⁸-31)/3	December 25, 2014	Serge Batalov
207	37473	33373	3w73	(10³⁷⁴⁷³+119)/3	December 25, 2014	Serge Batalov
220	34613	11131	1w31	(10³⁴⁶¹³+179)/9	December 25, 2014	Serge Batalov
222	33886	11171	1w71	(10³³⁸⁸⁶+539)/9	December 25, 2014	Serge Batalov
224	33102	11101	1w01	(10³³¹⁰²-91)/9	December 25, 2014	Serge Batalov
230	31574	33373	3w73	(10³¹⁵⁷⁴+119)/3	December 25, 2014	Serge Batalov
232	30384	33313	3w13	(10³⁰³⁸⁴-61)/3	December 25, 2014	Serge Batalov

December 24, 2014

Serge Batalov found 26 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
17	110407	37333	373w	(112·10¹¹⁰⁴⁰⁵-1)/3	December 24, 2014	Serge Batalov
20	103476	15111	151w	(136·10¹⁰³⁴⁷⁴-1)/9	December 24, 2014	Serge Batalov
30	90157	32333	323w	(97·10⁹⁰¹⁵⁵-1)/3	December 24, 2014	Serge Batalov
34	88461	35333	353w	(106·10⁸⁸⁴⁵⁹-1)/3	December 24, 2014	Serge Batalov
36	86984	16111	161w	(145·10⁸⁶⁹⁸²-1)/9	December 24, 2014	Serge Batalov
39	84136	32333	323w	(97·10⁸⁴¹³⁴-1)/3	December 24, 2014	Serge Batalov
52	71762	16111	161w	(145·10⁷¹⁷⁶⁰-1)/9	December 24, 2014	Serge Batalov
60	66757	17111	171w	(154·10⁶⁶⁷⁵⁵-1)/9	December 24, 2014	Serge Batalov
63	66045	38333	383w	(115·10⁶⁶⁰⁴³-1)/3	December 24, 2014	Serge Batalov
69	63204	19111	191w	(172·10⁶³²⁰²-1)/9	December 24, 2014	Serge Batalov
71	62075	38333	383w	(115·10⁶²⁰⁷³-1)/3	December 24, 2014	Serge Batalov
75	57416	34333	343w	(103·10⁵⁷⁴¹⁴-1)/3	December 24, 2014	Serge Batalov
82	54729	18111	181w	(163·10⁵⁴⁷²⁷-1)/9	December 24, 2014	Serge Batalov
98	50037	35333	353w	(106·10⁵⁰⁰³⁵-1)/3	December 24, 2014	Serge Batalov
99	49776	15111	151w	(136·10⁴⁹⁷⁷⁴-1)/9	December 24, 2014	Serge Batalov
105	48028	35333	353w	(106·10⁴⁸⁰²⁶-1)/3	December 24, 2014	Serge Batalov
109	43997	35333	353w	(106·10⁴³⁹⁹⁵-1)/3	December 24, 2014	Serge Batalov
114	42906	34333	343w	(103·10⁴²⁹⁰⁴-1)/3	December 24, 2014	Serge Batalov
116	41610	16111	161w	(145·10⁴¹⁶⁰⁸-1)/9	December 24, 2014	Serge Batalov
130	37962	12111	121w	(109·10³⁷⁹⁶⁰-1)/9	December 24, 2014	Serge Batalov
133	37866	34333	343w	(103·10³⁷⁸⁶⁴-1)/3	December 24, 2014	Serge Batalov
141	35901	31333	313w	(94·10³⁵⁸⁹⁹-1)/3	December 24, 2014	Serge Batalov
145	35159	19111	191w	(172·10³⁵¹⁵⁷-1)/9	December 24, 2014	Serge Batalov
148	33305	38333	383w	(115·10³³³⁰³-1)/3	December 24, 2014	Serge Batalov
151	32277	35333	353w	(106·10³²²⁷⁵-1)/3	December 24, 2014	Serge Batalov
157	30013	34333	343w	(103·10³⁰⁰¹¹-1)/3	December 24, 2014	Serge Batalov

December 22, 2014

Bob Price found a near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
41	75499	47777	47w	(43·10⁷⁵⁴⁹⁸-7)/9	December 22, 2014	Bob Price

December 21, 2014

Bob Price found a near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
78	51512	43333	43w	(13·10⁵¹⁵¹¹-1)/3	December 21, 2014	Bob Price

Prime factorization tables of the following 12 near-repdigit sequences were added. All composite factors on the tables had passed the level 35 of ECM 118 times. Most unknown factors are supposed to be larger than 10³⁰.

December 17, 2014

Bob Price found a near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
22	95575	27777	27w	(25·10⁹⁵⁵⁷⁴-7)/9	December 17, 2014	Bob Price

December 6, 2014

Prime factorization tables of the following 18 near-repdigit sequences were added. All composite factors on the tables had passed the level 35 of ECM 118 times. Most unknown factors are supposed to be larger than 10³⁰.

December 5, 2014

Bob Price found 11 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
27	89189	44449	4w9	(4·10⁸⁹¹⁸⁹+41)/9	December 5, 2014	Bob Price
28	88680	33337	3w7	(10⁸⁸⁶⁸⁰+11)/3	December 5, 2014	Bob Price
35	78636	91111	91w	(82·10⁷⁸⁶³⁵-1)/9	December 5, 2014	Bob Price
37	78243	97777	97w	(88·10⁷⁸²⁴²-7)/9	December 5, 2014	Bob Price
40	74350	33337	3w7	(10⁷⁴³⁵⁰+11)/3	December 5, 2014	Bob Price
43	72821	11119	1w9	(10⁷²⁸²¹+71)/9	December 5, 2014	Bob Price
47	69674	88883	8w3	(8·10⁶⁹⁶⁷⁴-53)/9	December 5, 2014	Bob Price
50	67796	44447	4w7	(4·10⁶⁷⁷⁹⁶+23)/9	December 5, 2014	Bob Price
52	66284	44447	4w7	(4·10⁶⁶²⁸⁴+23)/9	December 5, 2014	Bob Price
54	64715	55553	5w3	(5·10⁶⁴⁷¹⁵-23)/9	December 5, 2014	Bob Price
75	52740	44449	4w9	(4·10⁵²⁷⁴⁰+41)/9	December 5, 2014	Bob Price

November 2014

November 17, 2014

November 8, 2014

Serge Batalov found 2 near-repdigit prime numbers. The larger one is the largest known near-repdigit prime number that was proved with CHG. Congratulations! CHG proof certificate is available.

Proven near-repdigit primes
	digits	flabel	wlabel	expression	when	who
9	388080		9v89w	10³⁸⁸⁰⁸⁰-10¹¹²⁴³³-1	November 8, 2014	Serge Batalov
10	388080		9v89w	10³⁸⁸⁰⁸⁰-10¹⁸⁰⁸⁶⁸-1	November 8, 2014	Serge Batalov

The Prime Database: 10^388080-10^112433-1 (Chris K. Caldwell)
The Prime Database: 10^388080-10^180868-1 (Chris K. Caldwell)

November 6, 2014

P.Kurtovic found 3 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	wlabel	expression	when	who
44	65009	9w8999	10⁶⁵⁰⁰⁹-1001	November 6, 2014	P.Kurtovic
56	55596	9w8999	10⁵⁵⁵⁹⁶-1001	November 6, 2014	P.Kurtovic
77	45205	9w8999	10⁴⁵²⁰⁵-1001	November 6, 2014	P.Kurtovic

November 3, 2014

P.Kurtovic found 1 near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
6	248146	81111	81w	(73·10²⁴⁸¹⁴⁵-1)/9	November 3, 2014	P.Kurtovic

November 2, 2014

P.Kurtovic found 1 near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
16	104943	81111	81w	(73·10¹⁰⁴⁹⁴²-1)/9	November 2, 2014	P.Kurtovic

October 2014

October 31, 2014

Serge Batalov found the largest known unprovable quasi-repdigit PRP (except platequ and depression PRPs). Congratulations!

Unprovable quasi-repdigit PRPs (except pd)
	digits	flabel	wlabel	expression	when	who
1	280711	16667	16w7	(5·10²⁸⁰⁷¹⁰+1)/3	October 31, 2014	Serge Batalov

October 29, 2014

P.Kurtovic found 1 near-repdigit PRP and 1 quasi-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
14	112100	10111	101w	(91·10¹¹²⁰⁹⁸-1)/9	October 29, 2014	P.Kurtovic

Unprovable quasi-repdigit PRPs (except pd)
	digits	flabel	wlabel	expression	when	who
221	33585		551w	(496·10³³⁵⁸³-1)/9	October 29, 2014	P.Kurtovic

October 28, 2014

P.Kurtovic found 1 near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
16	100781	91111	91w	(82·10¹⁰⁰⁷⁸⁰-1)/9	October 28, 2014	P.Kurtovic

Serge Batalov found 3 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
8	183761	31111	31w	(28·10¹⁸³⁷⁶⁰-1)/9	October 28, 2014	Serge Batalov
9	165359	31111	31w	(28·10¹⁶⁵³⁵⁸-1)/9	October 28, 2014	Serge Batalov
12	134123	31111	31w	(28·10¹³⁴¹²²-1)/9	October 28, 2014	Serge Batalov

October 27, 2014

P.Kurtovic found 2 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
10	122593	81111	81w	(73·10¹²²⁵⁹²-1)/9	October 27, 2014	P.Kurtovic
30	73715	91111	91w	(82·10⁷³⁷¹⁴-1)/9	October 27, 2014	P.Kurtovic

Serge Batalov found 4 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
13	99144	51111	51w	(46·10⁹⁹¹⁴³-1)/9	October 27, 2014	Serge Batalov
14	96799	51111	51w	(46·10⁹⁶⁷⁹⁸-1)/9	October 27, 2014	Serge Batalov
58	51112	51111	51w	(46·10⁵¹¹¹¹-1)/9	October 27, 2014	Serge Batalov
79	40034	31111	31w	(28·10⁴⁰⁰³³-1)/9	October 27, 2014	Serge Batalov

October 26, 2014

P.Kurtovic found 3 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
23	78577	81111	81w	(73·10⁷⁸⁵⁷⁶-1)/9	October 26, 2014	P.Kurtovic
27	71671	81111	81w	(73·10⁷¹⁶⁷⁰-1)/9	October 26, 2014	P.Kurtovic
53	51163	81111	81w	(73·10⁵¹¹⁶²-1)/9	October 26, 2014	P.Kurtovic

October 19, 2014

Bob Price found 3 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
27	70727	77773	7w3	(7·10⁷⁰⁷²⁷-43)/9	October 19, 2014	Bob Price
31	64568	77773	7w3	(7·10⁶⁴⁵⁶⁸-43)/9	October 19, 2014	Bob Price
41	55851	77773	7w3	(7·10⁵⁵⁸⁵¹-43)/9	October 19, 2014	Bob Price

October 16, 2014

P.Kurtovic found 3 near-repdigit-related primes.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
	digits	flabel	wlabel	expression	when	who
41	81459	25199	2519w	252·10⁸¹⁴⁵⁶-1	October 16, 2014	P.Kurtovic
135	48839	25199	2519w	252·10⁴⁸⁸³⁶-1	October 16, 2014	P.Kurtovic
420	30093	25199	2519w	252·10³⁰⁰⁹⁰-1	October 16, 2014	P.Kurtovic

October 12, 2014

Bob Price found 1 near-repdigit PRP.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
48	51054	11113	1w3	(10⁵¹⁰⁵⁴+17)/9	October 12, 2014	Bob Price

September 2014

September 22, 2014

Serge Batalov found the largest known unprovable near-repdigit PRP. Congratulations!

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
1	762812	71111	71w	(64·10⁷⁶²⁸¹¹-1)/9	September 22, 2014	Serge Batalov

September 21, 2014

Serge Batalov found the largest known unprovable plateau and depression PRP. Congratulations!

Unprovable plateau and depression PRPs
	digits	flabel	wlabel	expression	when	who
1	411591	98889	98w9	(89·10⁴¹¹⁵⁹⁰+1)/9	September 21, 2014	Serge Batalov

September 8, 2014

Erik Branger found 6 quasi-repdigit PRPs.

Unprovable quasi-repdigit PRPs (except pd)
	digits	flabel	wlabel	expression	when	who
14	99475	96661	96w1	(29·10⁹⁹⁴⁷⁴-17)/3	September 8, 2014	Erik Branger
26	90097	96661	96w1	(29·10⁹⁰⁰⁹⁶-17)/3	September 8, 2014	Erik Branger
34	83526	73331	73w1	(22·10⁸³⁵²⁵-7)/3	September 8, 2014	Erik Branger
36	81768	46663	46w3	(14·10⁸¹⁷⁶⁷-11)/3	September 8, 2014	Erik Branger
64	63748	46663	46w3	(14·10⁶³⁷⁴⁷-11)/3	September 8, 2014	Erik Branger
89	53034	73331	73w1	(22·10⁵³⁰³³-7)/3	September 8, 2014	Erik Branger

August 2014

August 17, 2014

Bob Price found 4 near-repdigit PRPs.

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
11	95072	66661	6w1	(2·10⁹⁵⁰⁷²-17)/3	August 17, 2014	Bob Price
13	92976	66661	6w1	(2·10⁹²⁹⁷⁶-17)/3	August 17, 2014	Bob Price
18	84904	66661	6w1	(2·10⁸⁴⁹⁰⁴-17)/3	August 17, 2014	Bob Price
30	64041	66661	6w1	(2·10⁶⁴⁰⁴¹-17)/3	August 17, 2014	Bob Price

Proven near-repdigit primes
	digits	flabel	wlabel	expression	when	who
5	466004	94999	949w	95·10⁴⁶⁶⁰⁰²-1	May 19, 2014	Predrag Kurtovic

The Prime Database: 95*10^466002-1 (Chris K. Caldwell)
The Top Twenty: Near-repdigit (Chris K. Caldwell)

May 12, 2014

Edward Trice found the 2nd largest known quasi-repdigit prime. Congratulations!

Proven quasi-repdigit primes (except pd)
	digits	flabel	wlabel	expression	when	who
2	830866	70001	70w1	7·10⁸³⁰⁸⁶⁵+1	May 12, 2014	Edward Trice

The Prime Database: 7*10^830865+1 (Chris K. Caldwell)

May 8, 2014

Near-repdigit-related (probable) prime numbers has been moved.

P.Kurtovic found 1 quasi-repdigit prime.

Proven quasi-repdigit primes (except pd)
	digits	flabel	wlabel	expression	when	who
16	88563	17999	179w	18·10⁸⁸⁵⁶¹-1	May 8, 2014	P.Kurtovic

April 2014

April 12, 2014

P.Kurtovic found 1 quasi-repdigit prime.

Proven quasi-repdigit primes (except pd)
	digits	flabel	wlabel	expression	when	who
21	61806	67999	679w	68·10⁶¹⁸⁰⁴-1	April 12, 2014	P.Kurtovic

Unprovable near-repdigit PRPs
	digits	flabel	wlabel	expression	when	who
29	59797	23333	23w	(7·10⁵⁹⁷⁹⁶-1)/3	March 17, 2014	Erik Branger
39	53186	23333	23w	(7·10⁵³¹⁸⁵-1)/3	March 17, 2014	Erik Branger
44	50703	23333	23w	(7·10⁵⁰⁷⁰²-1)/3	March 17, 2014	Erik Branger

Unprovable quasi-repdigit PRPs (except pd)
	digits	flabel	wlabel	expression	when	who
19	95977	16669	16w9	(5·10⁹⁵⁹⁷⁶+7)/3	March 17, 2014	Erik Branger
35	81030	26663	26w3	(8·10⁸¹⁰²⁹-11)/3	March 17, 2014	Erik Branger
57	64808	23339	23w9	(7·10⁶⁴⁸⁰⁷+17)/3	March 17, 2014	Erik Branger
75	55255	36667	36w7	(11·10⁵⁵²⁵⁴+1)/3	March 17, 2014	Erik Branger
81	53288	23339	23w9	(7·10⁵³²⁸⁷+17)/3	March 17, 2014	Erik Branger
82	53275	36661	36w1	(11·10⁵³²⁷⁴-17)/3	March 17, 2014	Erik Branger

March 14, 2014

P.Kurtovic found 4 near-repdigit-related primes.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
	digits	flabel	wlabel	expression	when	who
233	40985	75001	750w1	75·10⁴⁰⁹⁸³+1	March 14, 2014	P.Kurtovic
237	40840		550w1	55·10⁴⁰⁸³⁸+1	March 14, 2014	P.Kurtovic
342	34244	75001	750w1	75·10³⁴²⁴²+1	March 14, 2014	P.Kurtovic
369	32786	75001	750w1	75·10³²⁷⁸⁴+1	March 14, 2014	P.Kurtovic

March 7, 2014

P.Kurtovic found 2 near-repdigit-related primes.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
	digits	flabel	wlabel	expression	when	who
191	44243	97001	970w1	97·10⁴⁴²⁴¹+1	March 7, 2014	P.Kurtovic
313	36090	97001	970w1	97·10³⁶⁰⁸⁸+1	March 7, 2014	P.Kurtovic

February 2014

February 26, 2014

Factorizations of 399...991, Factorizations of 533...33, Factorizations of 799...99, Factorizations of 833...33, Factorizations of 88...889, Factorizations of 899...99 and Factorizations of 99...991 have been extended up to n=300. Added composite numbers had passed ECM iterations 118 times at the level 35. Most unknown factors are supposed to be greater than 10³⁰.

Prime numbers of the form k·10ⁿ-1 (including 45 known prime numbers at least)
	digits	wlabel	expression	when	who
30	73609	19035235589273319644610804869w	1903523558927331964461080487·10⁷³⁵⁸¹-1	January 14, 2014	David Broadhurst
33	70538	19035235589273319644610804869w	1903523558927331964461080487·10⁷⁰⁵¹⁰-1	January 14, 2014	David Broadhurst
42	56844	19035235589273319644610804869w	1903523558927331964461080487·10⁵⁶⁸¹⁶-1	January 13, 2014	David Broadhurst
43	54984	19035235589273319644610804869w	1903523558927331964461080487·10⁵⁴⁹⁵⁶-1	January 13, 2014	David Broadhurst

User group for PFGW & PrimeForm programs - Yahoo Groups

January 8, 2014

Predrag Kurtovic found 1 near-repdigit-related prime.

Proven near-repdigit-related primes (except ru/nr/pd/qr)
	digits	flabel	wlabel	expression	when	who
180	44834	81001	810w1	81·10⁴⁴⁸³²+1	January 8, 2014	Predrag Kurtovic

January 6, 2014

Stefano D"Urso found the 9th largest known near-repdigit prime. Congratulations!

Proven near-repdigit primes
	digits	flabel	wlabel	expression	when	who
9	369712		99999979w	9999998·10³⁶⁹⁷⁰⁵-1	January 6, 2014	Stefano D"Urso

The Prime Database: 9999998*10^369705-1 (Chris K. Caldwell)
The Top Twenty: Near-repdigit (Chris K. Caldwell)

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