6 263 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
12527	5	13.6	old
170489085677393436641	21	67.2	old
302755949721815158460646337214449	33	107.9	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	3386 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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	FD79A25A0C218A9F	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	FD79A25A0C218A9F	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	FD79A25A0C218A9F	3	3169	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	B2A2EE98BDBB2CE3	3	2141	5	3
Factored	No proof (small exponent)	2022-05-12	Jorge Coveiro	B2A2EE98BDBB2CE3	1	3937	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	B2A2EE98BDBB2CE3	3	3215	5	3

History

Date	User	Type	Result
2025-03-18	masser	NF-PP1	Start=76/31, B1=1000000000, B2=999000000000
2025-03-10	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-01	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6263/12527/170489085677393436641/302755949721815158460646337214449 : B2A2EE98BDBB2CE3
2023-08-01	-anonymous-	NF-PM1	B1=39000000000, B2=163113042636343800
2022-05-12	Jorge Coveiro	C-PRP	M6263/12527 : B2A2EE98BDBB2CE3
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2020-04-17	Oliver Kruse	C-PRP	M6263/12527/170489085677393436641/302755949721815158460646337214449 : B2A2EE98BDBB2CE3
2017-12-07	ATH	C-PRP	M6263/12527/170489085677393436641/302755949721815158460646337214449 : FD79A25A0C218A9F
2017-10-02	kkmrkkblmbrbk	C-PRP	M6263/12527/170489085677393436641/302755949721815158460646337214449 : FD79A25A0C218A9F
2017-09-21	Oliver Kruse	C-PRP	M6263/known_factors : FD79A25A0C218A9F