Marin Mersenne 2^P-1
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Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

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Exponent Range:










MnStatusDetails
317557Factored
FactorDigitsBitsDate
478352377386331511755.4old
232697420979109549032064.32014-09-26 12:15:51
893717491608019488732066.32014-09-26 12:15:51
4440785419196202982632168.62014-03-07 06:34:05
196090894707362358757809178492994.02021-05-21 04:45:16
261803937426181358789514148312994.42019-06-21 09:30:46
ECM
DigitsB1Curves
2550000280 / 280
30250000278 / 640
Estimated T-Level: 27.2
TF below 2^85 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors
ShiftTypeBase
Verified (Factored)2017-09-22Oliver Kruse527063B1CBEC76BC4013
Verified (Factored)2017-10-13Oliver Kruse527063B1CBEC76BC428806313
Verified (Factored)2017-12-11ATH527063B1CBEC76BC422989313
Verified (Factored)2019-06-21ATHA2E3130B65E476AE511670553
Verified (Factored)2019-06-22kkmrkkblmbrbkA2E3130B65E476AE510004153
Verified2021-05-21/r/countingA2E3130B65E476AE64896253
Verified2021-05-21firejugglerA2E3130B65E476AE619916653
History
DateUserTypeResult
2022-10-06LordJuliusNF
no factor from 2^65 to 2^66
2022-10-06LordJuliusNF
no factor from 2^63 to 2^64
2022-10-06LordJuliusNF
no factor from 2^62 to 2^63
2022-10-06LordJuliusNF
no factor from 2^61 to 2^62
2022-10-06LordJuliusNF
no factor from 2^60 to 2^61
2022-10-06LordJuliusNF
no factor from 2^59 to 2^60
2021-05-21/r/countingCERT
PRP Certification
Proof certified good
2021-05-21curtiscCERT
PRP Certification
Proof certified good
2021-05-21firejugglerC-PRP
M317557/47835237738633151/23269742097910954903/89371749160801948873/444078541919620298263/19609089470736235875780917849/26180393742618135878951414831 : A2E3130B65E476AE
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-21/r/countingC-PRP
M317557/47835237738633151/444078541919620298263/23269742097910954903/89371749160801948873/26180393742618135878951414831/19609089470736235875780917849 : A2E3130B65E476AE
PRP proof power = 5
PRP: Verified
Proof certified good
2021-05-21George WoltmanF-PP1
Start=2/7, B1=7500000, B2=592500000, Factor: 19609089470736235875780917849
2021-05-21George WoltmanNF-PM1
B1=15000000, B2=1305000000
2019-06-22kkmrkkblmbrbkC-PRP
M317557/47835237738633151/444078541919620298263/23269742097910954903/89371749160801948873/26180393742618135878951414831 : A2E3130B65E476AE
PRP: Verified (Factored)
PRP without proof (small exponent)
2019-06-21ATHC-PRP
M317557/47835237738633151/444078541919620298263/23269742097910954903/89371749160801948873/26180393742618135878951414831 : A2E3130B65E476AE
PRP: Verified (Factored)
PRP without proof (small exponent)
2019-06-21TJAOIF-ECM
Factor: 26180393742618135878951414831 / (ECM curve 23, B1=250000, B2=25000000)
2017-12-11ATHC-PRP
M317557/47835237738633151/23269742097910954903/89371749160801948873/444078541919620298263 : 527063B1CBEC76BC
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-10-13Oliver KruseC-PRP
M317557/47835237738633151/444078541919620298263/23269742097910954903/89371749160801948873 : 527063B1CBEC76BC
PRP: Verified (Factored)
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M317557/known_factors : 527063B1CBEC76BC
PRP without proof (not generated)
2014-09-26TJAOIF-ECM
Factor: 89371749160801948873 / (ECM curve 2, B1=50000, B2=5000000)
2014-09-26TJAOIF-ECM
Factor: 23269742097910954903 / (ECM curve 26, B1=50000, B2=5000000)
2014-03-07Richard B. WoodsF-ECM
Factor: 444078541919620298263