7 937 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1727554844587150519	19	60.6	old
1984670448184158349237006740627860704808644417	46	150.5	2025-01-13 00:29:16

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	2592 / 16550

Estimated T-Level: 45.8 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	2D30EF079203C2B8	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	2D30EF079203C2B8	1	5067	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	36A560CB2DED6A29	1	3773	5	3
Verified (Factored)	2024-07-01	kkmrkkblmbrbk	36A560CB2DED6A29	1	424	5	3
Verified	2025-01-13	nordi	36A560CB2DED6A29	2	6362	5	3

History

Date	User	Type	Result
2025-01-13	nordi	C-PRP	M7937/1727554844587150519/1984670448184158349237006740627860704808644417 : 36A560CB2DED6A29 PRP: Verified PRP without proof (small exponent)
2025-01-13	nordi	F-ECM	Factor: 1984670448184158349237006740627860704808644417 / (ECM curve 155, B1=110000000, B2=3103899523725, Edwards Sigma=6061980038048795)
2024-07-01	kkmrkkblmbrbk	C-PRP	M7937/1727554844587150519 : 36A560CB2DED6A29 PRP: Verified PRP without proof (small exponent)
2023-05-24	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2021-01-30	Joss	NF-PM1	B1=4096000000, B2=1600000000000, E=12
2021-01-27	Joss	NF-PM1	B1=4096000000, B2=1048576000000, E=12
2021-01-25	Joss	NF-PM1	B1=4096000000, B2=262144000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M7937/1727554844587150519 : 36A560CB2DED6A29 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M7937/1727554844587150519 : 2D30EF079203C2B8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7937/1727554844587150519 : 2D30EF079203C2B8 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7937/1727554844587150519 : 2D30EF079203C2B8 PRP without proof (not generated)