7 699 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
15771546610752001	17	53.8	old
176781522466502090521	21	67.3	old
70188508559362968161161	23	75.9	old
285946563093603548596127129799504937357780062811699266143	57	187.5	2021-03-28 21:01:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	2059 / 9201

Estimated T-Level: 41.1 ⓘ

TF below 2^132 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	C0113345D4F547AE	3	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	C0113345D4F547AE	3	0	1	3
Verified (Factored)	2017-12-07	ATH	C0113345D4F547AE	3	666	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	FD642F3969E5A07F	3	625	5	3
Verified	2021-03-29	mnd9	FD642F3969E5A07F	4	3035	5	3
Verified	2021-03-29	Oliver Kruse	FD642F3969E5A07F	4	6613	5	3
Verified	2021-03-30	mnd9	FD642F3969E5A07F	4	2805	5	3

History

Date	User	Type	Result
2024-12-10	yuriy5-1	NF-PM1	B1=24000000000, B2=93848103835646160
2021-07-08	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2021-03-30	mnd9	C-PRP	M7699/15771546610752001/176781522466502090521/70188508559362968161161/285946563093603548596127129799504937357780062811699266143 : FD642F3969E5A07F PRP: Verified PRP without proof (small exponent)
2021-03-29	Oliver Kruse	C-PRP	M7699/15771546610752001/176781522466502090521/70188508559362968161161/285946563093603548596127129799504937357780062811699266143 : FD642F3969E5A07F PRP: Verified PRP without proof (small exponent)
2021-03-29	mnd9	C-PRP	M7699/15771546610752001/176781522466502090521/70188508559362968161161/285946563093603548596127129799504937357780062811699266143 : FD642F3969E5A07F PRP: Verified PRP without proof (small exponent)
2021-03-28	Ryan Propper	F-ECM	Factor: 285946563093603548596127129799504937357780062811699266143 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=6290565527825653114)
2020-04-17	Oliver Kruse	C-PRP	M7699/15771546610752001/176781522466502090521/70188508559362968161161 : FD642F3969E5A07F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M7699/15771546610752001/176781522466502090521/70188508559362968161161 : C0113345D4F547AE PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M7699/15771546610752001/176781522466502090521/70188508559362968161161 : C0113345D4F547AE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M7699/known_factors : C0113345D4F547AE PRP without proof (not generated)