37 021 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
592337	6	19.2	old
275032071865588402685042597101562527	36	117.7	2018-09-28 05:21:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	1421 / 4588

Estimated T-Level: 36.5 ⓘ

TF below 2^116 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	EB9E6B389AE53B7A	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	EB9E6B389AE53B7A	1	11033	1	3
Verified	2018-09-28	Oliver Kruse	34F7845AA8829B5C	2	15088	5	3
Verified	2018-09-28	rucio	34F7845AA8829B5C	2	14166	5	3

History

Date	User	Type	Result
2022-08-20	nordi	NF-PM1	B1=2000000000, B2=408370353971580
2022-04-27	nordi	NF-PM1	B1=2000000000
2021-05-12	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2018-09-28	rucio	C-PRP	M37021/592337/275032071865588402685042597101562527 : 34F7845AA8829B5C PRP: Verified PRP without proof (small exponent)
2018-09-28	Oliver Kruse	C-PRP	M37021/592337/275032071865588402685042597101562527 : 34F7845AA8829B5C PRP: Verified PRP without proof (small exponent)
2018-09-28	Niels_Mache_Nextcloud	F-ECM	Factor: 275032071865588402685042597101562527 / (ECM curve 3, B1=1000000, B2=100000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M37021/592337 : EB9E6B389AE53B7A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M37021/592337 : EB9E6B389AE53B7A PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M37021/592337 : EB9E6B389AE53B7A PRP without proof (not generated)
2016-11-02	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12