35 227 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
16115800895061433	17	53.8	old
36760558783894721142036303936026140553	38	124.8	2022-03-16 06:59:39

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	704 / 4588

Estimated T-Level: 35.8 ⓘ

TF below 2^114 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	D4951DF134C99007	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	D4951DF134C99007	1	31389	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	E320E27911F14D2D	1	5216	5	3
Verified	2022-03-16	nordi	E320E27911F14D2D	2	2936	5	3

P-1 factors

Date	Factor	B1	B2
2022-03-16	36760558783894721142036303936026140553	2000000000	412039397509740
2022-03-18	36760558783894721142036303936026140553	2000000000	400739514935760

History

Date	User	Type	Result
2022-03-18	nordi	F-PM1	Factor: 36760558783894721142036303936026140553 / (P-1, B1=2000000000, B2=400739514935760)
2022-03-16	nordi	C-PRP	M35227/16115800895061433/36760558783894721142036303936026140553 : E320E27911F14D2D PRP: Verified PRP without proof (small exponent)
2022-03-16	nordi	F-PM1	Factor: 36760558783894721142036303936026140553 / (P-1, B1=2000000000, B2=412039397509740)
2022-03-15	nordi	NF-PM1	B1=2000000000
2021-05-08	ATH	NF-PP1	Start=2/7, B1=100000000, B2=10000000000
2020-04-17	Oliver Kruse	C-PRP	M35227/16115800895061433 : E320E27911F14D2D PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M35227/16115800895061433 : D4951DF134C99007 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M35227/16115800895061433 : D4951DF134C99007 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M35227/16115800895061433 : D4951DF134C99007 PRP without proof (not generated)
2016-10-24	kkmrkkblmbrbk	NF-PM1	B1=200000000, B2=5000000000, E=12