7 727 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
1928047535370344126581561	25	80.7	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	13252 / 16550

Estimated T-Level: 49.0 ⓘ

TF below 2^158 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	FA536967142F9BB8	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	FA536967142F9BB8	1	4584	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	8897B6A902085EC0	1	3756	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	8897B6A902085EC0	1	4697	5	3

History

Date	User	Type	Result
2025-04-09	masser	NF-PP1	Start=131/23, B1=830000000, B2=829170000000
2025-04-01	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-20	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-12-13	yuriy_5-1	NF-PM1	B1=32000000000, B2=200173322832783300
2024-02-03	Wentao Huang	C-PRP	M7727/1928047535370344126581561 : 8897B6A902085EC0
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M7727/1928047535370344126581561 : 8897B6A902085EC0
2017-10-12	kkmrkkblmbrbk	C-PRP	M7727/1928047535370344126581561 : FA536967142F9BB8
2017-09-21	Oliver Kruse	C-PRP	M7727/1928047535370344126581561 : FA536967142F9BB8
2017-09-21	Oliver Kruse	C-PRP	M7727/1928047535370344126581561 : FA536967142F9BB8