100 511 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
15277673	8	23.9	old
516224497	9	28.9	2008-07-26 09:16:54
6166449003056263797559	22	72.4	2010-02-20 21:03:16

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	747 / 1566

Estimated T-Level: 32.4 ⓘ

TF below 2^103 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	98E076ADA5D311EC	3	0	1	3
Verified	2017-10-09	Chang Chia-Tche	98E076ADA5D311EC	3	0	1	3
Verified	2017-10-13	kkmrkkblmbrbk	98E076ADA5D311EC	3	15529	1	3
Verified	2020-04-17	Oliver Kruse	6F88CED3C3414CBB	3	16474	5	3
Verified	2022-04-15	LordJulius	6F88CED3C3414CBB	3	10188	5	3

History

Date	User	Type	Result
2022-10-22	LordJulius	NF	no factor from 2^66 to 2^67
2022-10-22	LordJulius	NF	no factor from 2^65 to 2^66
2022-10-22	LordJulius	NF	no factor from 2^64 to 2^65
2022-10-22	LordJulius	NF	no factor from 2^63 to 2^64
2022-10-22	LordJulius	NF	no factor from 2^62 to 2^63
2022-04-15	LordJulius	C-PRP	M100511/15277673/516224497/6166449003056263797559 : 6F88CED3C3414CBB PRP: Verified PRP without proof (small exponent)
2022-04-13	LordJulius	NF	no factor from 2^61 to 2^62
2022-04-13	LordJulius	NF	no factor from 2^60 to 2^61
2022-04-13	LordJulius	NF	no factor from 2^59 to 2^60
2022-04-13	LordJulius	NF	no factor from 2^58 to 2^59
2022-04-13	LordJulius	NF	no factor from 2^57 to 2^58
2021-12-17	Seth_Tr	NF-PM1	B1=1000000000, B2=25609020757320
2020-04-17	Oliver Kruse	C-PRP	M100511/15277673/516224497/6166449003056263797559 : 6F88CED3C3414CBB PRP: Verified PRP without proof (small exponent)
2017-10-13	kkmrkkblmbrbk	C-PRP	M100511/15277673/516224497/6166449003056263797559 : 98E076ADA5D311EC PRP: Verified PRP without proof (not generated)
2017-10-09	Chang Chia-Tche	C-PRP	M100511/known_factors : 98E076ADA5D311EC PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M100511/known_factors : 98E076ADA5D311EC PRP without proof (not generated)
2016-10-31	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2010-02-20	Rob_Dee	F-ECM	Factor: 6166449003056263797559
2008-07-26	J Feitsma	F	Factor: 516224497