7 883 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
15767	5	13.9	old
441449	6	18.8	old
1870534636931368581771351024316837872440020556569	49	160.4	2025-03-24 12:07:34

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	12393 / 16550

Estimated T-Level: 48.7 ⓘ

TF below 2^157 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	75B9C032F9D95ABC	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	75B9C032F9D95ABC	2	4789	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	8323C5E5DA8E67FA	2	3108	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	8323C5E5DA8E67FA	1	5472	5	3
Factored	No proof (small exponent)	2024-02-03	Wentao Huang	8323C5E5DA8E67FA	2	7729	5	3
Verified	No proof (small exponent)	2025-03-24	nordi	8323C5E5DA8E67FA	3	1968	5	3

History

Date	User	Type	Result
2025-04-09	masser	NF-PP1	Start=76/53, B1=830000000, B2=829170000000
2025-03-31	masser	NF-PP1	Start=6/5, B1=830000000, B2=829170000000
2025-03-24	nordi	C-PRP	M7883/15767/441449/1870534636931368581771351024316837872440020556569 : 8323C5E5DA8E67FA
2025-03-24	nordi	F-ECM	Factor: 1870534636931368581771351024316837872440020556569 / ECM curve 928, B1=110000000, B2=3103899523725, Edwards Sigma=5355563359350290
2025-03-21	masser	NF-PP1	Start=2/7, B1=830000000, B2=829170000000
2024-04-09	masser	NF-PM1	B1=50000000000, B2=8775299674841700
2024-02-03	Wentao Huang	C-PRP	M7883/15767/441449 : 8323C5E5DA8E67FA
2022-05-12	Jorge Coveiro	C-PRP	M7883/15767 : 8323C5E5DA8E67FA
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M7883/15767/441449 : 8323C5E5DA8E67FA
2017-10-12	kkmrkkblmbrbk	C-PRP	M7883/15767/441449 : 75B9C032F9D95ABC
2017-09-21	Oliver Kruse	C-PRP	M7883/15767/441449 : 75B9C032F9D95ABC
2017-09-21	Oliver Kruse	C-PRP	M7883/15767/441449 : 75B9C032F9D95ABC