2 207 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
123593	6	16.9	old
264355765770812639190253663	27	87.8	old
36154241258362723105218653006331225161	38	124.8	old
10762493188406426709807917815754170251249512993719	50	162.9	2019-10-10 14:18:24

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	62454 / 105362

Estimated T-Level: 58.0 ⓘ

TF below 2^188 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	C64B43C4148541D2	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	C64B43C4148541D2	3	0	1	3
Verified (Factored)	2017-12-07	ATH	C64B43C4148541D2	3	18	1	3
Verified	2019-10-10	nordi	62A1EBB367C0069A	4	1427	5	3
Verified	2019-10-11	Niels_Mache_Nextcloud	62A1EBB367C0069A	4	918	5	3
Verified	2020-04-17	Oliver Kruse	62A1EBB367C0069A	4	758	5	3

History

Date	User	Type	Result
2022-10-16	BloodIce	NF-PM1	B1=1000000000000, B2=1310747166780801750
2022-09-06	BloodIce	NF-PM1	B1=100000000000, B2=131079011172179070
2022-08-30	BloodIce	NF-PM1	B1=10000000000, B2=8197466515738500
2020-04-17	Oliver Kruse	C-PRP	M2207/123593/264355765770812639190253663/36154241258362723105218653006331225161/10762493188406426709807917815754170251249512993719 : 62A1EBB367C0069A PRP: Verified PRP without proof (small exponent)
2019-10-11	Niels_Mache_Nextcloud	C-PRP	M2207/123593/264355765770812639190253663/36154241258362723105218653006331225161/10762493188406426709807917815754170251249512993719 : 62A1EBB367C0069A PRP: Verified PRP without proof (small exponent)
2019-10-10	nordi	C-PRP	M2207/123593/264355765770812639190253663/36154241258362723105218653006331225161/10762493188406426709807917815754170251249512993719 : 62A1EBB367C0069A PRP: Verified PRP without proof (small exponent)
2019-10-10	Ryan Propper	F-ECM	Factor: 10762493188406426709807917815754170251249512993719 / (ECM curve 1, B1=260000000)
2017-12-07	ATH	C-PRP	M2207/123593/264355765770812639190253663/36154241258362723105218653006331225161 : C64B43C4148541D2 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M2207/123593/264355765770812639190253663/36154241258362723105218653006331225161 : C64B43C4148541D2 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M2207/known_factors : C64B43C4148541D2 PRP without proof (not generated)
2016-09-08	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=50000000000, E=12