6 607 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
8034113	7	22.9	old
26285724863	11	34.6	old
13612042925978561869319743	26	83.5	old

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	16365 / 16550

Estimated T-Level: 49.9 ⓘ

TF below 2^161 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	B95246A6B3BAD1DD	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B95246A6B3BAD1DD	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	B95246A6B3BAD1DD	3	2145	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	39869C7565FFBA08	3	254	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	39869C7565FFBA08	3	4619	5	3

History

Date	User	Type	Result
2025-03-21	masser	NF-PP1	Start=90/23, B1=1000000000, B2=999000000000
2025-03-13	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-04	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6607/8034113/26285724863/13612042925978561869319743 : 39869C7565FFBA08
2023-08-10	-anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1003954060639530
2020-04-17	Oliver Kruse	C-PRP	M6607/8034113/26285724863/13612042925978561869319743 : 39869C7565FFBA08
2017-12-07	ATH	C-PRP	M6607/8034113/26285724863/13612042925978561869319743 : B95246A6B3BAD1DD
2017-10-02	kkmrkkblmbrbk	C-PRP	M6607/8034113/26285724863/13612042925978561869319743 : B95246A6B3BAD1DD
2017-09-21	Oliver Kruse	C-PRP	M6607/known_factors : B95246A6B3BAD1DD