202 109 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
1982394615079	13	40.9	old
45246143446873	14	45.4	2008-07-21 09:13:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	636 / 640

Estimated T-Level: 30.0 ⓘ

TF below 2^95 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	84E99065C24382AE	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	84E99065C24382AE	2	86280	1	3
Verified	2020-04-17	Oliver Kruse	E86F217AB536E315	2	186958	5	3
Verified	2023-08-03	USAFSS	E86F217AB536E315	2	180862	5	3

History

Date	User	Type	Result
2023-08-03	curtisc	CERT	PRP Certification Proof certified good
2023-08-03	USAFSS	C-PRP	M202109/1982394615079/45246143446873 : E86F217AB536E315 PRP proof power = 5 PRP: Verified Proof certified good
2022-02-04	Oliver Kruse	NF-PM1	B1=30000000, B2=10264076402580
2021-07-11	seatsea	F-ECM	Factor: 45246143446873 / (ECM curve 1, B1=250000, B2=38500000)
2021-05-04	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000
2020-04-17	Oliver Kruse	C-PRP	M202109/1982394615079/45246143446873 : E86F217AB536E315 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M202109/1982394615079/45246143446873 : 84E99065C24382AE PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M202109/1982394615079/45246143446873 : 84E99065C24382AE PRP: Verified PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M202109/1982394615079/45246143446873 : 84E99065C24382AE PRP without proof (not generated)
2008-07-21	J Feitsma	F	Factor: 45246143446873