7 109 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
420123402383	12	38.6	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	2826 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 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	DD941A71AAA29827	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	DD941A71AAA29827	1	277	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	6F6DE63DFB8CCC30	1	3850	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	6F6DE63DFB8CCC30	1	372	5	3

History

Date	User	Type	Result
2025-03-25	masser	NF-PP1	Start=125/47, B1=1000000000, B2=999000000000
2025-03-17	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-08	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M7109/420123402383 : 6F6DE63DFB8CCC30
2023-08-24	-anonymous-	NF-PM1	B1=34000000000, B2=142096338314180250
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7109/420123402383 : 6F6DE63DFB8CCC30
2017-10-12	kkmrkkblmbrbk	C-PRP	M7109/420123402383 : DD941A71AAA29827
2017-09-21	Oliver Kruse	C-PRP	M7109/420123402383 : DD941A71AAA29827
2017-09-21	Oliver Kruse	C-PRP	M7109/420123402383 : DD941A71AAA29827