4 297 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
893777	6	19.8	old
7216656809	10	32.7	old
38621221151	11	35.2	old
159192819445156024316231213591	30	97.0	old
251736881721481941186714048623290127	36	117.6	old
96437429855240462114489441553704488059887	41	136.1	2020-09-30 15:49:01

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	29184 / 40830

Estimated T-Level: 53.6 ⓘ

TF below 2^173 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	020BE1278154843A	5	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	020BE1278154843A	5	0	1	3
Verified (Factored)	2017-12-07	ATH	020BE1278154843A	5	2184	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	CDD0E27347F609E9	5	2680	5	3
Verified	2020-10-01	mnd9	CDD0E27347F609E9	6	205	5	3
Verified	2020-10-02	LordJulius	CDD0E27347F609E9	6	1360	5	3

History

Date	User	Type	Result
2023-05-20	-Anonymous-	NF-PM1	B1=75000000000, B2=751710476301835050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-02	LordJulius	C-PRP	M4297/893777/7216656809/38621221151/159192819445156024316231213591/251736881721481941186714048623290127/96437429855240462114489441553704488059887 : CDD0E27347F609E9 PRP: Verified PRP without proof (small exponent)
2020-10-01	mnd9	C-PRP	M4297/893777/7216656809/38621221151/159192819445156024316231213591/251736881721481941186714048623290127/96437429855240462114489441553704488059887 : CDD0E27347F609E9 PRP: Verified PRP without proof (small exponent)
2020-09-30	Ryan Propper	F-ECM	Factor: 96437429855240462114489441553704488059887 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=8327034476289931823)
2020-04-17	Oliver Kruse	C-PRP	M4297/893777/7216656809/38621221151/159192819445156024316231213591/251736881721481941186714048623290127 : CDD0E27347F609E9 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M4297/893777/7216656809/38621221151/159192819445156024316231213591/251736881721481941186714048623290127 : 020BE1278154843A PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M4297/893777/7216656809/38621221151/159192819445156024316231213591/251736881721481941186714048623290127 : 020BE1278154843A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4297/known_factors : 020BE1278154843A PRP without proof (not generated)