4 271 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
8543	4	13.1	old
1595303921	10	30.6	old
7988521111	10	32.9	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	16550 / 16550
55	110000000	10050 / 40830

Estimated T-Level: 51.2 ⓘ

TF below 2^165 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	DA6BFD833A7DED83	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	DA6BFD833A7DED83	3	3143	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	E49F2FA30729FADC	3	1993	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	E49F2FA30729FADC	1	2621	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	E49F2FA30729FADC	3	4019	5	3

History

Date	User	Type	Result
2025-05-14	masser	NF-PP1	Start=166/37, B1=2600000000, B2=2597400000000
2024-02-03	Wentao Huang	C-PRP	M4271/8543/1595303921/7988521111 : E49F2FA30729FADC
2023-05-20	-anonymous-	NF-PM1	B1=75000000000, B2=751710476301835050
2022-05-12	Jorge Coveiro	C-PRP	M4271/8543 : E49F2FA30729FADC
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4271/8543/1595303921/7988521111 : E49F2FA30729FADC
2017-10-12	kkmrkkblmbrbk	C-PRP	M4271/8543/1595303921/7988521111 : DA6BFD833A7DED83
2017-09-21	Oliver Kruse	C-PRP	M4271/8543/1595303921/7988521111 : DA6BFD833A7DED83
2017-09-21	Oliver Kruse	C-PRP	M4271/8543/1595303921/7988521111 : DA6BFD833A7DED83
2009-10-25	Carsten Kossendey	F	Factor: 108873009055850289741433