3 617 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
8384488127	10	33.0	old
15249615349649647	17	53.8	old
196512440174008781662481	24	77.4	old
3609882846556714272673552573996621857001	40	131.4	2017-02-07 10:38:15

P-1 factors

Date	Factors	B1	B2
2017-02-07	3609882846556714272673552573996621857001	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	14797 / 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
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	ACBA826EEB7AA319	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	ACBA826EEB7AA319	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	ACBA826EEB7AA319	4	2761	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D40AE82A2DCD6D61	4	3029	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	D40AE82A2DCD6D61	4	2093	5	3

History

Date	User	Type	Result
2025-05-03	masser	NF-PP1	Start=147/11, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M3617/8384488127/15249615349649647/196512440174008781662481/3609882846556714272673552573996621857001 : D40AE82A2DCD6D61
2022-07-02	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2020-04-17	Oliver Kruse	C-PRP	M3617/8384488127/15249615349649647/196512440174008781662481/3609882846556714272673552573996621857001 : D40AE82A2DCD6D61
2017-12-07	ATH	C-PRP	M3617/8384488127/15249615349649647/196512440174008781662481/3609882846556714272673552573996621857001 : ACBA826EEB7AA319
2017-10-02	kkmrkkblmbrbk	C-PRP	M3617/8384488127/15249615349649647/196512440174008781662481/3609882846556714272673552573996621857001 : ACBA826EEB7AA319
2017-09-21	Oliver Kruse	C-PRP	M3617/known_factors : ACBA826EEB7AA319
2017-02-07	kkmrkkblmbrbk	F-PM1	Factor: 3609882846556714272673552573996621857001 / B1=100000000000, B2=109863493910757900
2009-10-25	Carsten Kossendey	F-PM1	Factor: 15249615349649647