33 409 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
801817	6	19.6	old
953931964977081317848598147624325447143	39	129.5	2023-03-29 11:43:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	2050 / 4588

Estimated T-Level: 37.2 ⓘ

TF below 2^119 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	332D3F3462542B16	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	332D3F3462542B16	1	23539	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	37E54FEC050859BE	1	24975	5	3
Verified	2023-03-29	Kevin_9611	37E54FEC050859BE	2	2831	5	3

History

Date	User	Type	Result
2025-01-02	masser	NF-PP1	Start=6/5, B1=60000000, B2=59940000000
2024-12-25	masser	NF-PP1	Start=116/71, B1=60000000, B2=59940000000
2024-11-30	masser	NF-PP1	Start=2/7, B1=60000000, B2=59940000000
2023-03-29	Kevin_9611	C-PRP	M33409/801817/953931964977081317848598147624325447143 : 37E54FEC050859BE PRP: Verified PRP without proof (small exponent)
2023-03-29	nordi	F-ECM	Factor: 953931964977081317848598147624325447143 / (ECM curve 17, B1=3000000, B2=11486324850, Sigma=5824344277932232)
2022-09-05	nordi	NF-PM1	B1=2000000000, B2=411370914274320
2022-08-14	nordi	NF-PM1	B1=2000000000
2020-04-17	Oliver Kruse	C-PRP	M33409/801817 : 37E54FEC050859BE PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M33409/801817 : 332D3F3462542B16 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M33409/801817 : 332D3F3462542B16 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M33409/801817 : 332D3F3462542B16 PRP without proof (not generated)
2016-10-16	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12