4 957 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 6 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
148711	6	17.2	old
3003943	7	21.5	old
8179079743	10	32.9	old
12081283978359727856605030722943775567	38	123.2	2016-09-01 04:05:32
2550181209981787884841625159550785058330886223	46	150.8	2020-08-29 12:50:04
246983850981415853695555800914746071630106768073	48	157.4	2017-02-09 01:33:00

P-1 factors

Date	Factors	B1	B2
2017-02-09	246983850981415853695555800914746071630106768073	100000000000	109863493910757904

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	16550 / 16550
55	110000000	14891 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	5639FE8CADE78EE0	5	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	5639FE8CADE78EE0	5	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	5639FE8CADE78EE0	5	3705	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	9A78485A02C68A14	5	4446	5	3
Verified	No proof (small exponent)	2020-08-29	M Miller	9A78485A02C68A14	6	4291	5	3

History

Date	User	Type	Result
2025-05-23	masser	NF-PP1	Start=162/41, B1=2100000000, B2=2097900000000
2020-08-29	M Miller	C-PRP	M4957/148711/3003943/8179079743/12081283978359727856605030722943775567/246983850981415853695555800914746071630106768073/2550181209981787884841625159550785058330886223 : 9A78485A02C68A14
2020-08-29	Alex Kruppa	F-ECM	Factor: 2550181209981787884841625159550785058330886223 / ECM curve 2878, B1=11000000, B2=1100000000, Montgomery Sigma=1814333942129993
2020-04-17	Oliver Kruse	C-PRP	M4957/148711/3003943/8179079743/12081283978359727856605030722943775567/246983850981415853695555800914746071630106768073 : 9A78485A02C68A14
2017-12-07	ATH	C-PRP	M4957/148711/3003943/8179079743/12081283978359727856605030722943775567/246983850981415853695555800914746071630106768073 : 5639FE8CADE78EE0
2017-10-02	kkmrkkblmbrbk	C-PRP	M4957/148711/3003943/8179079743/12081283978359727856605030722943775567/246983850981415853695555800914746071630106768073 : 5639FE8CADE78EE0
2017-09-21	Oliver Kruse	C-PRP	M4957/known_factors : 5639FE8CADE78EE0
2017-02-09	kkmrkkblmbrbk	F-PM1	Factor: 246983850981415853695555800914746071630106768073 / B1=100000000000, B2=109863493910757900
2016-09-01	kkmrkkblmbrbk	F-ECM	Factor: 12081283978359727856605030722943775567