221 539 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
11221148858401056833	20	63.3	old
342488446605147076403233087	27	88.1	2016-04-22 12:20:20
27681975063594459576206649529	29	94.5	2020-09-30 00:41:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	537 / 640

Estimated T-Level: 29.2 ⓘ

TF below 2^92 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	ECB5EE91FB7F8A87	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	ECB5EE91FB7F8A87	2	123775	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	FADCEDFB0DBBECB2	2	206360	5	3
Verified	2020-09-30	M Miller	FADCEDFB0DBBECB2	3	62665	5	3

History

Date	User	Type	Result
2022-03-08	Oliver Kruse	NF-PM1	B1=30000000, B2=10070832992220
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-06-18	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-09-30	Ben Delo	CERT	PRP Certification Proof certified good
2020-09-30	M Miller	C-PRP	M221539/11221148858401056833/342488446605147076403233087/27681975063594459576206649529 : FADCEDFB0DBBECB2 PRP proof power = 5 PRP: Verified Proof certified good
2020-09-30	nordi	F-ECM	Factor: 27681975063594459576206649529 / (ECM curve 2, B1=250000, B2=25000000, Sigma=6149207420078539)
2020-04-17	Oliver Kruse	C-PRP	M221539/11221148858401056833/342488446605147076403233087 : FADCEDFB0DBBECB2 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M221539/11221148858401056833/342488446605147076403233087 : ECB5EE91FB7F8A87 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M221539/known_factors : ECB5EE91FB7F8A87 PRP without proof (not generated)
2016-04-22	TJAOI	F-ECM	Factor: 342488446605147076403233087