6 271 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

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

Factored

Factor	Digits	Bits	Date
13959247	8	23.7	old
1246485529234041005737140113	28	90.0	old
1098082335325758325064716198335473041103300131335913	52	169.6	2021-03-30 00:29:10
71040244337121193300780396694478516082062614674287521	53	175.6	2021-06-08 21:01:55

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1447 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	7CF3B41BAF48FFC6	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	7CF3B41BAF48FFC6	2	3568	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	F6AA9A4308E9267C	2	4057	5	3
Verified (Factored)	2021-03-30	mnd9	F6AA9A4308E9267C	3	4375	5	3
Verified (Factored)	2021-03-31	marssystems	F6AA9A4308E9267C	3	2838	5	3
Verified	2021-06-08	mikr	F6AA9A4308E9267C	4	3503	5	3
Verified	2021-06-10	kutens	F6AA9A4308E9267C	4	5628	5	3

History

Date	User	Type	Result
2023-08-02	-Anonymous-	NF-PM1	B1=39000000000, B2=163113042636343800
2021-08-01	ViliamF	NF-PM1	B1=500000000, B2=90500000000
2021-06-10	kutens	C-PRP	M6271/13959247/1246485529234041005737140113/1098082335325758325064716198335473041103300131335913/71040244337121193300780396694478516082062614674287521 : F6AA9A4308E9267C PRP: Verified PRP without proof (small exponent)
2021-06-08	mikr	C-PRP	M6271/13959247/1246485529234041005737140113/1098082335325758325064716198335473041103300131335913/71040244337121193300780396694478516082062614674287521 : F6AA9A4308E9267C PRP: Verified PRP without proof (small exponent)
2021-06-08	Ryan Propper	F-ECM	Factor: 71040244337121193300780396694478516082062614674287521 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=13305406547721469155)
2021-03-31	marssystems	C-PRP	M6271/13959247/1246485529234041005737140113/1098082335325758325064716198335473041103300131335913 : F6AA9A4308E9267C PRP: Verified PRP without proof (small exponent)
2021-03-30	mnd9	C-PRP	M6271/13959247/1246485529234041005737140113/1098082335325758325064716198335473041103300131335913 : F6AA9A4308E9267C PRP: Verified PRP without proof (small exponent)
2021-03-30	Ryan Propper	F-ECM	Factor: 1098082335325758325064716198335473041103300131335913 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=595699036425279103)
2020-04-17	Oliver Kruse	C-PRP	M6271/13959247/1246485529234041005737140113 : F6AA9A4308E9267C PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M6271/13959247/1246485529234041005737140113 : 7CF3B41BAF48FFC6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6271/13959247/1246485529234041005737140113 : 7CF3B41BAF48FFC6 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6271/13959247/1246485529234041005737140113 : 7CF3B41BAF48FFC6 PRP without proof (not generated)