10 369 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
3303589011431	13	41.6	old
33431513154216168765689	23	74.8	2008-08-29 02:24:25

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1282 / 9201

Estimated T-Level: 40.7 ⓘ

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	2017-09-21	Oliver Kruse	70BC2F438F9925DE	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	70BC2F438F9925DE	2	9839	1	3
Verified	2020-04-17	Oliver Kruse	7561E46666FAC565	2	3253	5	3
Verified	2024-07-01	kkmrkkblmbrbk	7561E46666FAC565	2	2526	5	3

P-1 factors

Date	Factor	B1	B2
2022-10-22	33431513154216168765689	100000000000	120378144651464704

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M10369/3303589011431/33431513154216168765689 : 7561E46666FAC565 PRP: Verified PRP without proof (small exponent)
2022-10-22	-Anonymous-	F-PM1	Factor: 33431513154216168765689 / (P-1, B1=100000000000, B2=120378144651464700)
2021-08-02	ViliamF	NF-PM1	B1=250000000, B2=40250000000
2020-04-17	Oliver Kruse	C-PRP	M10369/3303589011431/33431513154216168765689 : 7561E46666FAC565 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M10369/3303589011431/33431513154216168765689 : 70BC2F438F9925DE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10369/3303589011431/33431513154216168765689 : 70BC2F438F9925DE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M10369/3303589011431/33431513154216168765689 : 70BC2F438F9925DE PRP without proof (not generated)
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-08-29	-Anonymous-	F-ECM	Factor: 33431513154216168765689