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
216803Composite, with 3 known prime factors. Cofactor is composite.
Factored
FactorDigitsBitsDate
433607618.7old
18128604969628247900902492580.62014-12-19 13:18:58
3248424935777840106877229212788.12022-06-15 18:57:31
ECM
DigitsB1Curves
2550000280 / 280
30250000640 / 640
351000000184 / 1566
Estimated T-Level: 30.6 ⓘ
TF below 2^97 is very unlikely to find new factors due to ECM effort.
PRP Cofactor
StatusDateUserResidueNumber of
known factors		ShiftTypeBase
Verified (Factored)2017-09-22Oliver KruseB4949895EBFAB5502013
Verified (Factored)2017-09-22Oliver KruseB4949895EBFAB5502013
Verified (Factored)2017-11-06kkmrkkblmbrbkB4949895EBFAB55028190413
Verified (Factored)2020-04-17Oliver Kruse3642E28FD1B53F2325581353
Verified (Factored)2022-05-12Jorge Coveiro3642E28FD1B53F23110576753
Verified2022-06-16mnd93642E28FD1B53F23319207753
Verified2022-06-18_p95holder_3642E28FD1B53F23317308853
Verified2023-08-03USAFSS3642E28FD1B53F23310794353
History
DateUserTypeResult
2023-08-03curtiscCERT
PRP Certification
Proof certified good
2023-08-03USAFSSC-PRP
M216803/433607/1812860496962824790090249/324842493577784010687722921 : 3642E28FD1B53F23
PRP proof power = 5
PRP: Verified
Proof certified good
2022-06-18_p95holder_C-PRP
M216803/433607/1812860496962824790090249/324842493577784010687722921 : 3642E28FD1B53F23
PRP: Verified
PRP without proof (small exponent)
2022-06-16mnd9C-PRP
M216803/433607/1812860496962824790090249/324842493577784010687722921 : 3642E28FD1B53F23
PRP proof power = 5
PRP: Verified
PRP proof never uploaded
2022-06-15_p95holder_F-ECM
Factor: 324842493577784010687722921 / (ECM curve 4, B1=250000, B2=25000000)
2022-05-12Jorge CoveiroC-PRP
M216803/433607 : 3642E28FD1B53F23
PRP proof power = 5
PRP: Verified (Factored)
PRP proof never uploaded
2022-02-28Oliver KruseNF-PM1
B1=30000000, B2=10070832992220
2021-05-26Oliver KruseNF-PM1
B1=30000000, B2=3000000000
2021-05-07Dylan DelgadoNF-PM1
B1=15000000, B2=1665000000
2021-05-03Dylan DelgadoNF-PM1
B1=8296000, B2=837896000
2020-04-17Oliver KruseC-PRP
M216803/433607/1812860496962824790090249 : 3642E28FD1B53F23
PRP: Verified
PRP without proof (small exponent)
2017-11-06kkmrkkblmbrbkC-PRP
M216803/433607/1812860496962824790090249 : B4949895EBFAB550
PRP: Verified
PRP without proof (small exponent)
2017-09-22Oliver KruseC-PRP
M216803/433607/1812860496962824790090249 : B4949895EBFAB550
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M216803/433607/1812860496962824790090249 : B4949895EBFAB550
PRP: Verified
PRP without proof (not generated)
2017-09-22Oliver KruseC-PRP
M216803/433607/1812860496962824790090249 : B4949895EBFAB550
PRP without proof (not generated)
2014-12-19TJAOIF-ECM
Factor: 1812860496962824790090249 / (ECM curve 19, B1=50000, B2=5000000)