n=13265: c9067(5982951407......) = 1290668262735890884325761 * c9043(4635545461......)
# P-1 B1=160e6
n=13269: c8824(2286645389......) = 2427709598953063772750559319 * c8796(9418941171......)
# P-1 B1=140e6
n=13282: c6364(1118803877......) = 7480441362289212211418170076851 * c6333(1495638858......)
# P-1 B1=275e6
n=100118: c49499(5493490214......) = 2213092040998752430410504041 * c49472(2482269201......)
# P-1 B1=55e6
n=100119: c63775(6609013230......) = 135903373927930060098307 * c63752(4863023661......)
# P-1 B1=16e6
n=659: c620(4267053373......) = 149909896971539560984652057797566890100299359259837 * p570(2846412051......)
# ECM B1=11e7, sigma=0:4226535905387705
n=13251: c7553(1020556209......) = 12296428612923146794052172531037 * c7521(8299614806......)
# P-1 B1=160e6
n=100098: c32439(1651391149......) = 17325552919871634468049 * c32416(9531535053......)
# P-1 B1=35e6
n=100105: c80070(3271635196......) = 144493170813628346471 * c80050(2264214411......)
# P-1 B1=17e6
# 1265 of 300000 Φn(10) factorizations were finished. 300000 個中 1265 個の Φn(10) の素因数分解が終わりました。
# via yoyo@home
n=651: c353(3942538136......) = 18761726160436368465384904039916752385257524435903404839 * p298(2101372817......)
# ECM B1=1694085181-2900000000
# 1264 of 300000 Φn(10) factorizations were finished. 300000 個中 1264 個の Φn(10) の素因数分解が終わりました。
n=12771: c7490(3265530166......) = 314224898531750364984013 * x7467(1039233422......)
# P-1 B1=160e6
n=12771: x7467(1039233422......) = 238824929913673638997582363 * c7440(4351444477......)
# P-1 B1=160e6
n=13158: c3973(6498919750......) = 68581509075838066581670099156849 * c3941(9476198231......)
# P-1 B1=140e6
n=100079: c77947(4996028157......) = 6068994380637463834185467 * c77922(8232052699......)
# P-1 B1=10e6
n=100363: c100338(3342416394......) = 1016391456544433853547 * c100317(3288512878......)
# P-1 B1=15e6
n=100379: c100370(2271994863......) = 66388841093949454147 * c100350(3422254141......)
# P-1 B1=15e6
n=100417: c100389(1606817930......) = 286825064305738012150961 * c100365(5602083398......)
# P-1 B1=15e6
n=100459: c100428(1850977056......) = 22782665966376356329 * c100408(8124497191......)
# P-1 B1=15e6
n=100517: c100517(1111111111......) = 17361707890852059740855929 * c100491(6399780010......)
# P-1 B1=16e6
n=100519: c100519(1111111111......) = 101147426853941494945049 * c100496(1098506551......)
# P-1 B1=16e6
n=100559: c100506(1770694992......) = 95610786074378976307 * c100486(1851982464......)
# P-1 B1=16e6
n=100591: c100591(1111111111......) = 1291405529277231477460435169 * c100563(8603889993......)
# P-1 B1=16e6
n=100669: c100656(2048201370......) = 2806386502390207284249241483 * c100628(7298358116......)
# P-1 B1=16e6
n=100811: c100799(4439811269......) = 281860909823518349338601 * c100776(1575178080......)
# P-1 B1=16e6
n=100817: c100069(2554375103......) = 507962247211408289 * c100051(5028671160......)
# P-1 B1=16e6
n=147977: c147963(5771101824......) = 114084230812902508795841 * c147940(5058632366......)
# P-1 B1=8.8e6
# 213213 of 300000 Φn(10) factorizations were cracked. 300000 個中 213213 個の Φn(10) の素因数が見つかりました。
# 20039 of 25997 Rprime factorizations were cracked. 25997 個中 20039 個の Rprime の素因数が見つかりました。
# via Kurt Beschorner
n=79337: c79337(1111111111......) = 9145312312862925909640977721 * c79309(1214951521......)
# ECM B1=5e4, sigma=7464158329682606
n=79427: c79427(1111111111......) = 1284283667245483471417172921 * c79399(8651601974......)
# ECM B1=5e4, sigma=5590089294394130
# 213210 of 300000 Φn(10) factorizations were cracked. 300000 個中 213210 個の Φn(10) の素因数が見つかりました。
# 20036 of 25997 Rprime factorizations were cracked. 25997 個中 20036 個の Rprime の素因数が見つかりました。
n=14549: c14549(1111111111......) = 4005021584963302209471746401 * c14521(2774294938......)
# P-1 B1=14e7
n=14747: c14747(1111111111......) = 252632181388341912925629401 * c14720(4398137660......)
# P-1 B1=14e7
n=147799: c147784(2810812403......) = 24724127378034035880566249 * c147759(1136870216......)
# P-1 B1=8.8e6
Information
Phin10ex.txt is now available.
The difference between Phin10.txt and Phin10ex.txt is the addition of number expression to information of factors with numbers omitted.
There are only five operators used in that number expression: addition, subtraction, multiplication, division, and exponentiation.
Phin10ex.txt allows you to get the exact value of factors with numbers omitted without having to be aware of cyclotomic polynomial or Aurifeuillean factorization.
For example,
Phin10.txt
1300L 1301 p237_7763644894_1161115590
Phin10ex.txt
1300L 1301 p237_7763644894_1161115590_((10^65+1)*((10^130+10^65)*(10^65-10^33+3)-10^33+2)-1)/128805479070810449200301
n=713: c632(2522748643......) = 31070861795268450321139284436817844468068239 * c588(8119339142......)
# ECM B1=11e7, sigma=4800378595879534
n=13175: c9591(3881903730......) = 422686483673200816801 * c9570(9183884227......)
# P-1 B1=56e6
n=13187: c13151(2450408500......) = 2072300747670825285092510827 * c13124(1182457953......)
# P-1 B1=35e6
# via factordb.com
n=695: c545(6173612174......) = 8397548714483238063663389786354175256018831 * c502(7351683669......)
n=3019: c3003(2190194150......) = 3139259690159845335135979206644089969 * c2966(6976785505......)
n=3023: c2959(2308713813......) = 107018760919046918330490860941009 * c2927(2157298209......)
n=3097: c2883(5891256187......) = 57179667256536688029715193166703488359641 * c2843(1030306133......)
# via Kurt Beschorner
n=8914: c4456(9090909090......) = 1680862037183886151986766096284943 * c4423(5408480226......)
n=655: c502(3917622251......) = 2603347672124284040229582413722681735668626862241 * c454(1504840207......)
# ECM B1=11e7, sigma=0:3963412036452067
n=13108: c6246(7320780653......) = 44331551068710498173013783881 * c6218(1651370294......)
# P-1 B1=94e6
n=13131: c8736(8725710109......) = 276600609054191780298991 * c8713(3154624329......)
# P-1 B1=60e6