236 143 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
381844630381038150847	21	68.4	2014-12-19 13:17:55
73030147285039069647031	23	76.0	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	165 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	F5272625BBE82481	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	F5272625BBE82481	2	198715	1	3
Verified	2020-04-17	Oliver Kruse	5010E2B78F1B2BD3	2	16031	5	3
Verified	2024-02-03	Wentao Huang	5010E2B78F1B2BD3	2	177199	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M236143/73030147285039069647031/381844630381038150847 : 5010E2B78F1B2BD3 PRP proof power = 5 PRP: Verified Proof certified good
2022-04-01	Oliver Kruse	NF-PM1	B1=30000000, B2=10120247026890
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-07-08	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-04-17	Oliver Kruse	C-PRP	M236143/381844630381038150847/73030147285039069647031 : 5010E2B78F1B2BD3 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M236143/73030147285039069647031/381844630381038150847 : F5272625BBE82481 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M236143/known_factors : F5272625BBE82481 PRP without proof (not generated)
2014-12-19	TJAOI	F-ECM	Factor: 381844630381038150847