13 763 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
27527	5	14.7	old
908359	6	19.8	2008-08-26 19:58:41
5613652441	10	32.4	2008-08-26 19:58:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1523 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 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	BF79D3F860F33D57	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	BF79D3F860F33D57	3	2591	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	42725E42D4E16B59	3	343	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	42725E42D4E16B59	1	7576	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	42725E42D4E16B59	3	12842	5	3

History

Date	User	Type	Result
2025-02-22	masser	NF-PP1	Start=93/53, B1=430000000, B2=429570000000
2025-02-10	masser	NF-PP1	Start=2/7, B1=430000000, B2=429570000000
2025-01-24	masser	NF-PP1	Start=6/5, B1=430000000, B2=429570000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M13763/27527/5613652441/908359 : 42725E42D4E16B59
2024-01-29	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-21	JacobZ	NF-PM1	B1=8000000000, B2=35524619698317750
2022-05-12	Jorge Coveiro	C-PRP	M13763/27527 : 42725E42D4E16B59
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=248016220902450
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13763/27527/908359/5613652441 : 42725E42D4E16B59
2017-10-12	kkmrkkblmbrbk	C-PRP	M13763/27527/908359/5613652441 : BF79D3F860F33D57
2017-09-21	Oliver Kruse	C-PRP	M13763/27527/908359/5613652441 : BF79D3F860F33D57
2017-09-21	Oliver Kruse	C-PRP	M13763/27527/908359/5613652441 : BF79D3F860F33D57
2008-08-26	-anonymous-	F	Factor: 5613652441
2008-08-26	-anonymous-	F	Factor: 908359