Plateau-and-depression (probable) prime numbers

Table of contents目次

Last updated最終更新
Abbribiations略語
1. wclass
2. status
Plain text versionプレーンテキスト版
Plateau-and-depression (probable) prime numbersプラトウアンドデプレッションの(おそらく)素数

1. Last updated最終更新

Fri, 26 Apr 2024 10:15:21 GMT

2. Abbribiations略語

2.1. wclass

rp:repunit
nr:near-repdigit
n2:near-near-repdigit(quasi-repdigit)
n3:near-near-near-repdigit
m1:k*10^n-1
p1:k*10^n+1
mk:10^n-k
pk:10^n+k
pl:palindrome
pd:plateau-and-depression

2.2. status

pr:proven
tw:twin
cs:cousin
sx:sexy
tr:triplet
qd:quadruplet

3. Plain text versionプレーンテキスト版

prime_pd.txt

4. Plateau-and-depression (probable) prime numbersプラトウアンドデプレッションの (おそらく) 素数

(probable) prime numbers with more than 1,000 digits and within the top 10,0001,000 桁以上かつ上位 10,000 個以内の (おそらく) 素数

Plateau-and-depression (probable) prime numbers
rank	digits	flabel_n	wlabel[:v]:w	wclass	(probable) prime number	status	comment
1	1,116,677	74447_1116676	74w7:1116675	n2 pl pd	67×10^1,116,676 + 239		Serge Batalov and Ryan Propper / Jan 22, 2023
2	499,211	71117_499210	71w7:499209	n2 pl pd	64×10^499,210 + 539		Serge Batalov / srsieve / Mar 1, 2015
3	411,591	98889_411590	98w9:411589	n2 pl pd	89×10^411,590 + 19		Serge Batalov / srsieve and LLR / Sep 21, 2014
4	283,827	35553_283826	35w3:283825	n2 pl pd	32×10^283,826 − 239		Serge Batalov / Jan 17, 2023
5	275,327	78887_275326	78w7:275325	n2 pl pd	71×10^275,326 − 179		Serge Batalov / Jan 22, 2023
6	250,337	15551_250336	15w1:250335	n2 pl pd	14×10^250,336 − 419		Serge Batalov / Jan 22, 2023
7	249,551	13331_249550	13w1:249549	n2 pl pd	4×10^249,550 − 73		Serge Batalov / Jan 15, 2023
8	245,559	78887_245558	78w7:245557	n2 pl pd	71×10^245,558 − 179		Serge Batalov / Jan 21, 2023
9	222,719	15551_222718	15w1:222717	n2 pl pd	14×10^222,718 − 419		Serge Batalov / Jan 21, 2023
10	219,741	79997_219740	79w7:219739	n2 pl pd	8×10^219,740 − 3		Serge Batalov / Jan 14, 2023
11	211,263	15551_211262	15w1:211261	n2 pl pd	14×10^211,262 − 419		Serge Batalov / Jan 20, 2023
12	207,557	74447_207556	74w7:207555	n2 pl pd	67×10^207,556 + 239		Serge Batalov / Jan 13, 2023
13	205,511	75557_205510	75w7:205509	n2 pl pd	68×10^205,510 + 139		Serge Batalov / Jan 13, 2023
14	181,545	92229_181544	92w9:181543	n2 pl pd	83×10^181,544 + 619		Serge Batalov / Jan 19, 2023
15	165,717	78887_165716	78w7:165715	n2 pl pd	71×10^165,716 − 179		Serge Batalov / Jan 19, 2023
16	148,861	79997_148860	79w7:148859	n2 pl pd	8×10^148,860 − 3		Ray Chandler / srsieve, PFGW / Apr 9, 2011
17	133,581	98889_133580	98w9:133579	n2 pl pd	89×10^133,580 + 19		Serge Batalov / srsieve, sr1sieve, Prime95 and PFGW 3.3.3 / May 15, 2010
18	131,393	72227_131392	72w7:131391	n2 pl pd	65×10^131,392 + 439		Tyler Busby / Jan 11, 2023
19	119,931	79997_119930	79w7:119929	n2 pl pd	8×10^119,930 − 3		Ray Chandler / srsieve, PFGW / Apr 1, 2011
20	115,811	78887_115810	78w7:115809	n2 pl pd	71×10^115,810 − 179		Ray Chandler / PFGW / Aug 5, 2011
21	111,033	13331_111032	13w1:111031	n2 pl pd	4×10^111,032 − 73		Ray Chandler / srsieve, PFGW / Apr 15, 2011
22	95,327	76667_95326	76w7:95325	n2 pl pd	23×10^95,326 + 13		Serge Batalov / PFGW / May 27, 2009
23	94,213	74447_94212	74w7:94211	n2 pl pd	67×10^94,212 + 239		Ray Chandler / srsieve, PFGW / Feb 22, 2011
24	84,773	79997_84772	79w7:84771	n2 pl pd	8×10^84,772 − 3		Ray Chandler / srsieve, PFGW / Jan 3, 2011
25	81,215	76667_81214	76w7:81213	n2 pl pd	23×10^81,214 + 13		Serge Batalov / PFGW / Jun 7, 2009
26	80,163	37773_80162	37w3:80161	n2 pl pd	34×10^80,162 − 439		Ray Chandler / srsieve, PFGW / Dec 13, 2010
27	74,435	75557_74434	75w7:74433	n2 pl pd	68×10^74,434 + 139		Ray Chandler / srsieve, PFGW / Nov 17, 2010
28	72,773	74447_72772	74w7:72771	n2 pl pd	67×10^72,772 + 239		Ray Chandler / srsieve, PFGW / Nov 12, 2010
29	68,505	75557_68504	75w7:68503	n2 pl pd	68×10^68,504 + 139		Ray Chandler / srsieve, PFGW / Oct 30, 2010
30	67,039	14441_67038	14w1:67037	n2 pl pd	13×10^67,038 − 319		Serge Batalov / PFGW / Nov 2, 2008
31	66,395	16661_66394	16w1:66393	n2 pl pd	5×10^66,394 − 173		Serge Batalov / PFGW / May 15, 2009
32	56,083	17771_56082	17w1:56081	n2 pl pd	16×10^56,082 − 619		Serge Batalov / PFGW / May 16, 2009
33	56,043	75557_56042	75w7:56041	n2 pl pd	68×10^56,042 + 139		Ray Chandler / srsieve, PFGW / Sep 29, 2010
34	51,779	72227_51778	72w7:51777	n2 pl pd	65×10^51,778 + 439		Ray Chandler / srsieve, PFGW / Sep 21, 2010
35	51,009	37773_51008	37w3:51007	n2 pl pd	34×10^51,008 − 439		Ray Chandler / srsieve, PFGW / Sep 20, 2010
36	47,305	35553_47304	35w3:47303	n2 pl pd	32×10^47,304 − 239		Patrick De Geest / May 17, 2005
37	46,567	37773_46566	37w3:46565	n2 pl pd	34×10^46,566 − 439		Patrick De Geest / May 22, 2005
38	45,861	35553_45860	35w3:45859	n2 pl pd	32×10^45,860 − 239		Patrick De Geest / May 16, 2005
39	45,805	37773_45804	37w3:45803	n2 pl pd	34×10^45,804 − 439		Patrick De Geest / May 22, 2005
40	43,881	91119_43880	91w9:43879	n2 pl pd	82×10^43,880 + 719		Patrick De Geest / Jun 23, 2005
41	42,263	13331_42262	13w1:42261	n2 pl pd	4×10^42,262 − 73		Patrick De Geest / Oct 3, 2004
42	40,959	37773_40958	37w3:40957	n2 pl pd	34×10^40,958 − 439		Patrick De Geest / May 20, 2005
43	40,223	16661_40222	16w1:40221	n2 pl pd	5×10^40,222 − 173		Patrick De Geest / Oct 17, 2004
44	38,853	75557_38852	75w7:38851	n2 pl pd	68×10^38,852 + 139		Patrick De Geest / May 4, 2005
45	37,785	92229_37784	92w9:37783	n2 pl pd	83×10^37,784 + 619		Patrick De Geest / Jun 26, 2005
46	37,685	15551_37684	15w1:37683	n2 pl pd	14×10^37,684 − 419		Patrick De Geest / Oct 11, 2004
47	37,447	17771_37446	17w1:37445	n2 pl pd	16×10^37,446 − 619		Patrick De Geest / Oct 21, 2004
48	35,461	76667_35460	76w7:35459	n2 pl pd	23×10^35,460 + 13		Patrick De Geest / Jun 8, 2005
49	31,317	37773_31316	37w3:31315	n2 pl pd	34×10^31,316 − 439		Patrick De Geest / May 18, 2005
50	31,235	18881_31234	18w1:31233	n2 pl pd	17×10^31,234 − 719		Patrick De Geest / Nov 17, 2004
51	28,631	19991_28630	19w1:28629	n2 pl pd	2×10^28,630 − 9		Patrick De Geest / Nov 26, 2004
52	24,757	34443_24756	34w3:24755	n2 pl pd	31×10^24,756 − 139		Patrick De Geest / Apr 17, 2005
53	24,215	72227_24214	72w7:24213	n2 pl pd	65×10^24,214 + 439		Patrick De Geest / Apr 21, 2005
54	24,029	16661_24028	16w1:24027	n2 pl pd	5×10^24,028 − 173		Patrick De Geest / Oct 15, 2004
55	23,787	75557_23786	75w7:23785	n2 pl pd	68×10^23,786 + 139		Patrick De Geest / Apr 23, 2005
56	23,673	19991_23672	19w1:23671	n2 pl pd	2×10^23,672 − 9		Patrick De Geest / Nov 25, 2004
57	21,157	32223_21156	32w3:21155	n2 pl pd	29×10^21,156 + 79		Patrick De Geest / Apr 16, 2005
58	20,925	75557_20924	75w7:20923	n2 pl pd	68×10^20,924 + 139		Patrick De Geest / Apr 23, 2005
59	20,721	98889_20720	98w9:20719	n2 pl pd	89×10^20,720 + 19		Patrick De Geest / Apr 5, 2003
60	20,365	17771_20364	17w1:20363	n2 pl pd	16×10^20,364 − 619		Patrick De Geest / Oct 20, 2004
61	19,463	72227_19462	72w7:19461	n2 pl pd	65×10^19,462 + 439		Patrick De Geest / Mar 16, 2003
62	19,447	76667_19446	76w7:19445	n2 pl pd	23×10^19,446 + 13		Patrick De Geest / Mar 25, 2003
63	19,259	18881_19258	18w1:19257	n2 pl pd	17×10^19,258 − 719		Patrick De Geest / Feb 7, 2003
64	17,957	13331_17956	13w1:17955	n2 pl pd	4×10^17,956 − 73		Patrick De Geest / Jan 14, 2003
65	15,769	37773_15768	37w3:15767	n2 pl pd	34×10^15,768 − 439	pr	Greg Childers / Primo, CHG.gp / Feb 27, 2006
66	15,699	13331_15698	13w1:15697	n2 pl pd	4×10^15,698 − 73		Patrick De Geest / Jan 13, 2003
67	15,193	79997_15192	79w7:15191	n2 pl pd	8×10^15,192 − 3		Patrick De Geest / Mar 28, 2003
68	15,095	74447_15094	74w7:15093	n2 pl pd	67×10^15,094 + 239		Patrick De Geest / Mar 18, 2003
69	14,769	18881_14768	18w1:14767	n2 pl pd	17×10^14,768 − 719		Patrick De Geest / Feb 6, 2003
70	13,811	74447_13810	74w7:13809	n2 pl pd	67×10^13,810 + 239		Patrick De Geest / Mar 17, 2003
71	13,673	74447_13672	74w7:13671	n2 pl pd	67×10^13,672 + 239		Patrick De Geest / Mar 17, 2003
72	12,625	76667_12624	76w7:12623	n2 pl pd	23×10^12,624 + 13		Patrick De Geest / Mar 22, 2003
73	11,441	76667_11440	76w7:11439	n2 pl pd	23×10^11,440 + 13		Patrick De Geest / Mar 22, 2003
74	10,907	71117_10906	71w7:10905	n2 pl pd	64×10^10,906 + 539	pr	Greg / PRIMO / May 18, 2022
75	10,747	37773_10746	37w3:10745	n2 pl pd	34×10^10,746 − 439		Patrick De Geest / Dec 20, 2002
76	10,395	91119_10394	91w9:10393	n2 pl pd	82×10^10,394 + 719		Patrick De Geest / Jan 16, 2003
77	9,825	31113_9824	31w3:9823	n2 pl pd	28×10^9,824 + 179		Patrick De Geest / Dec 14, 2002
78	9,425	18881_9424	18w1:9423	n2 pl pd	17×10^9,424 − 719		Patrick De Geest / Dec 11, 2002
79	8,903	78887_8902	78w7:8901	n2 pl pd	71×10^8,902 − 179		Patrick De Geest / Jan 3, 2003
80	8,407	14441_8406	14w1:8405	n2 pl pd	13×10^8,406 − 319		Patrick De Geest / Nov 20, 2002
81	7,985	79997_7984	79w7:7983	n2 pl pd	8×10^7,984 − 3		Patrick De Geest / Jan 7, 2003
82	7,363	38883_7362	38w3:7361	n2 pl pd	35×10^7,362 − 539	pr	Maksym Voznyy / PRIMO 4.3.2 - LX64 / Dec 8, 2020
83	7,277	72227_7276	72w7:7275	n2 pl pd	65×10^7,276 + 439	pr	Maksym Voznyy / PRIMO 4.3.2 - LX64 / Nov 30, 2020
84	7,231	35553_7230	35w3:7229	n2 pl pd	32×10^7,230 − 239	pr	Maksym Voznyy / PRIMO 4.3.2 - LX64 / Nov 23, 2020
85	7,017	15551_7016	15w1:7015	n2 pl pd	14×10^7,016 − 419	pr	Maksym Voznyy / PRIMO 4.3.2 - LX64 / Nov 13, 2020
86	6,233	16661_6232	16w1:6231	n2 pl pd	5×10^6,232 − 173	pr	Masaki UKAI / PRIMO 4.3.2 - LX64 / Sep 16, 2020
87	5,569	34443_5568	34w3:5567	n2 pl pd	31×10^5,568 − 139	pr	Maksym Voznyy / PRIMO 4.2.1 - LX64 / May 16, 2016
88	5,433	38883_5432	38w3:5431	n2 pl pd	35×10^5,432 − 539	pr	Maksym Voznyy / PRIMO 4.2.1 - LX64 / May 16, 2016
89	5,209	37773_5208	37w3:5207	n2 pl pd	34×10^5,208 − 439	pr	Serge Batalov / PFGW, CHG.gp, chgcertd.gp / Dec 15, 2010
90	4,795	98889_4794	98w9:4793	n2 pl pd	89×10^4,794 + 19	pr	Ray Chandler / Primo 4.0.1 - LX64 / Feb 7, 2013
91	3,983	75557_3982	75w7:3981	n2 pl pd	68×10^3,982 + 139	pr	Ray Chandler / Primo 4.0.1 - LX64 / Feb 7, 2013
92	3,877	37773_3876	37w3:3875	n2 pl pd	34×10^3,876 − 439	pr	Ray Chandler / Primo 4.0.1 - LX64 / Feb 7, 2013
93	3,813	75557_3812	75w7:3811	n2 pl pd	68×10^3,812 + 139	pr	Ray Chandler / Primo 4.0.1 - LX64 / Feb 7, 2013
94	3,609	92229_3608	92w9:3607	n2 pl pd	83×10^3,608 + 619	pr	Patrick De Geest / Nov 14, 2003
95	3,385	76667_3384	76w7:3383	n2 pl pd	23×10^3,384 + 13	pr	Patrick De Geest / Oct 25, 2003
96	3,381	37773_3380	37w3:3379	n2 pl pd	34×10^3,380 − 439	pr	Patrick De Geest / Oct 9, 2003
97	3,113	13331_3112	13w1:3111	n2 pl pd	4×10^3,112 − 73	pr	Patrick De Geest / Sep 1, 2003
98	3,095	13331_3094	13w1:3093	n2 pl pd	4×10^3,094 − 73	pr	Patrick De Geest / Aug 20, 2003
99	3,037	32223_3036	32w3:3035	n2 pl pd	29×10^3,036 + 79	pr	Patrick De Geest / Aug 2, 2003
100	2,899	13331_2898	13w1:2897	n2 pl pd	4×10^2,898 − 73	pr	David Broadhurst / Jan 23, 2003
101	2,767	37773_2766	37w3:2765	n2 pl pd	34×10^2,766 − 439	pr	Patrick De Geest / Jul 21, 2003
102	1,975	35553_1974	35w3:1973	n2 pl pd	32×10^1,974 − 239	pr	David Broadhurst / Jan 23, 2003
103	1,787	72227_1786	72w7:1785	n2 pl pd	65×10^1,786 + 439	pr	Patrick De Geest / Jul 9, 2003
104	1,689	78887_1688	78w7:1687	n2 pl pd	71×10^1,688 − 179	pr	Patrick De Geest / Jul 7, 2003
105	1,579	74447_1578	74w7:1577	n2 pl pd	67×10^1,578 + 239	pr	Patrick De Geest / Jul 6, 2003
106	1,525	32223_1524	32w3:1523	n2 pl pd	29×10^1,524 + 79	pr	Patrick De Geest / Jul 6, 2003
107	1,495	38883_1494	38w3:1493	n2 pl pd	35×10^1,494 − 539	pr	Patrick De Geest / Jul 5, 2003
108	1,487	74447_1486	74w7:1485	n2 pl pd	67×10^1,486 + 239	pr	Patrick De Geest / Jul 5, 2003
109	1,471	13331_1470	13w1:1469	n2 pl pd	4×10^1,470 − 73	pr	David Broadhurst / Jan 23, 2003
110	1,461	19991_1460	19w1:1459	n2 pl pd	2×10^1,460 − 9	pr	Patrick De Geest / Jul 4, 2003
111	1,285	79997_1284	79w7:1283	n2 pl pd	8×10^1,284 − 3	pr	Patrick De Geest / Jul 3, 2003
112	1,255	14441_1254	14w1:1253	n2 pl pd	13×10^1,254 − 319	pr	Patrick De Geest / Jul 2, 2003
113	1,227	98889_1226	98w9:1225	n2 pl pd	89×10^1,226 + 19	pr	Patrick De Geest / Jul 1, 2003
114	1,213	79997_1212	79w7:1211	n2 pl pd	8×10^1,212 − 3	pr	Patrick De Geest / Jun 30, 2003
115	1,141	91119_1140	91w9:1139	n2 pl pd	82×10^1,140 + 719	pr	David Broadhurst / Jan 23, 2003
116	1,065	38883_1064	38w3:1063	n2 pl pd	35×10^1,064 − 539	pr	Patrick De Geest / Feb 2, 2003
117	1,003	17771_1002	17w1:1001	n2 pl pd	16×10^1,002 − 619	pr	David Broadhurst / Jan 23, 2003