9 791 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
19583	5	14.3	old
536076833	9	29.0	old
1277661349369	13	40.2	old
30391480885238591	17	54.8	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	6756 / 16550

Estimated T-Level: 47.0 ⓘ

TF below 2^151 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	C3F4B5B3321B28BE	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	C3F4B5B3321B28BE	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	C3F4B5B3321B28BE	4	301	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	1639C80669FD1DAD	4	5165	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	1639C80669FD1DAD	1	2502	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	1639C80669FD1DAD	4	8831	5	3

History

Date	User	Type	Result
2025-03-23	masser	NF-PP1	Start=198/37, B1=1000000000, B2=999000000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M9791/1277661349369/19583/30391480885238591/536076833 : 1639C80669FD1DAD
2023-06-16	JacobZ	NF-PM1	B1=59000000000, B2=250256095608669150
2022-05-12	Jorge Coveiro	C-PRP	M9791/19583 : 1639C80669FD1DAD
2021-12-14	ANONYMOUS	NF-PM1	B1=101101101, B2=26132804888190
2021-12-14	ANONYMOUS	NF-PM1	B1=1000000, B2=1086971255370
2020-04-17	Oliver Kruse	C-PRP	M9791/19583/536076833/1277661349369/30391480885238591 : 1639C80669FD1DAD
2017-12-07	ATH	C-PRP	M9791/19583/536076833/1277661349369/30391480885238591 : C3F4B5B3321B28BE
2017-10-02	kkmrkkblmbrbk	C-PRP	M9791/19583/536076833/1277661349369/30391480885238591 : C3F4B5B3321B28BE
2017-09-21	Oliver Kruse	C-PRP	M9791/known_factors : C3F4B5B3321B28BE