2 113 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 5 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2231329	7	21.1	old
52030513	8	25.6	old
37980882217929022983473	23	75.0	old
101936210855894546221988426464097	33	106.3	old
70069559886916848191358723057403864593810930428032065109697	59	195.5	2020-09-12 13:41:51

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	40830 / 40830
60	260000000	62816 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 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	BA9316C7BF556BAD	4	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	BA9316C7BF556BAD	4	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	BA9316C7BF556BAD	4	1354	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	634D97A3AC1E7876	4	1650	5	3
Verified	No proof (small exponent)	2020-09-12	M Miller	634D97A3AC1E7876	5	604	5	3
Verified	No proof (small exponent)	2020-09-12	atrench	634D97A3AC1E7876	5	1905	5	3

History

Date	User	Type	Result
2025-03-30	masser	NF-PP1	Start=186/13, B1=5300000000, B2=5294700000000
2024-04-23	masser	NF-PM1	B1=100000000000, B2=280551200579149500
2020-09-12	atrench	C-PRP	M2113/2231329/52030513/37980882217929022983473/101936210855894546221988426464097/70069559886916848191358723057403864593810930428032065109697 : 634D97A3AC1E7876
2020-09-12	M Miller	C-PRP	M2113/2231329/52030513/37980882217929022983473/101936210855894546221988426464097/70069559886916848191358723057403864593810930428032065109697 : 634D97A3AC1E7876
2020-09-12	Ryan Propper	F-ECM	Factor: 70069559886916848191358723057403864593810930428032065109697
2020-04-17	Oliver Kruse	C-PRP	M2113/2231329/52030513/37980882217929022983473/101936210855894546221988426464097 : 634D97A3AC1E7876
2017-12-07	ATH	C-PRP	M2113/2231329/52030513/37980882217929022983473/101936210855894546221988426464097 : BA9316C7BF556BAD
2017-10-02	kkmrkkblmbrbk	C-PRP	M2113/2231329/52030513/37980882217929022983473/101936210855894546221988426464097 : BA9316C7BF556BAD
2017-09-21	Oliver Kruse	C-PRP	M2113/known_factors : BA9316C7BF556BAD
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12