Marin Mersenne 2^P-1
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Finding World Record Primes Since 1996

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MnStatusDetails
345853Composite, with 4 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
375596359928.5old
14449173504051451911960.32014-10-03 12:41:41
174833204668051188245140097772993.82017-10-13 13:35:49
1641098435269149836127974085773097.12025-04-04 15:27:07
ECM
DigitsB1Curves
2550000280 / 280
30250000449 / 640
Estimated T-Level: 28.5 ⓘ
TF below 2^90 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-23Oliver Kruse6694E8D7CBDC25002013
Verified (Factored)2017-10-13Oliver Kruse6694E8D7CBDC2500217367013
Verified (Factored)2017-10-13kkmrkkblmbrbkD62198D1C66D8D65317622953
Verified (Factored)2017-10-13Oliver KruseC51EAACB22F6D99E313211513
Verified (Factored)2017-10-13Oliver KruseC51EAACB22F6D99E327931513
Verified (Factored)2017-10-14Yaroslav BerezhkoC51EAACB22F6D99E3013
Verified (Factored)2017-11-03ATHD62198D1C66D8D65320785353
Verified2025-04-04Oliver KruseD62198D1C66D8D6547341653
History
DateUserTypeResult
2025-04-04Samarth HiremathCERT
PRP Certification
Proof certified good
2025-04-04Oliver KruseC-PRP
M345853/375596359/1444917350405145191/17483320466805118824514009777/164109843526914983612797408577 : D62198D1C66D8D65
PRP proof power = 5
PRP: Verified
Proof certified good
2025-04-04Oliver KruseF-ECM
Factor: 164109843526914983612797408577 / (ECM curve 25, B1=601208, B2=1027004055, Edwards Sigma=8043457162435806)
2024-09-20yuriy_5-1NF-PM1
B1=12000002, B2=2124117455460
2023-11-16USAFSSNF-PM1
B1=1350000, B2=5367308100
2022-02-06Lisander ViaeneNF-PM1
B1=50000
2017-11-03ATHC-PRP
M345853/375596359/1444917350405145191/17483320466805118824514009777 : D62198D1C66D8D65
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-14Yaroslav BerezhkoC-PRP
M345853/375596359/1444917350405145191/17483320466805118824514009777 : C51EAACB22F6D99E
PRP: Verified (Factored)
PRP without proof (not generated)
2017-10-13Oliver KruseC-PRP
M345853/375596359/1444917350405145191/17483320466805118824514009777 : C51EAACB22F6D99E
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M345853/375596359/1444917350405145191/17483320466805118824514009777 : C51EAACB22F6D99E
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-13kkmrkkblmbrbkC-PRP
M345853/375596359/1444917350405145191/17483320466805118824514009777 : D62198D1C66D8D65
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-13TJAOIF-ECM
Factor: 17483320466805118824514009777 / (ECM curve 40, B1=250000, B2=25000000)
2017-10-13Oliver KruseC-PRP
M345853/375596359/1444917350405145191 : 6694E8D7CBDC2500
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-23Oliver KruseC-PRP
M345853/375596359/1444917350405145191 : 6694E8D7CBDC2500
PRP: Verified (Factored)
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M345853/375596359/1444917350405145191 : 6694E8D7CBDC2500
PRP without proof (not generated)
2014-10-03TJAOIF-ECM
Factor: 1444917350405145191 / (ECM curve 21, B1=50000, B2=5000000)