305 441 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
784372489	9	29.5	old
128352309301208654532874849	27	86.7	2021-09-04 15:15:31

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	425 / 640

Estimated T-Level: 28.3 ⓘ

TF below 2^89 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	79D499927AF9BBC8	1	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	79D499927AF9BBC8	1	263464	1	3
Verified (Factored)	2017-12-11	ATH	79D499927AF9BBC8	1	129065	1	3
Verified (Factored)	2020-04-18	Oliver Kruse	8910D9AA53632D15	1	199897	5	3
Verified	2021-09-04	H Michaelson	8910D9AA53632D15	2	135690	5	3

History

Date	User	Type	Result
2024-02-23	Denial140	NF-PM1	B1=10000000, B2=206662045590
2024-02-22	Denial140	NF-PM1	B1=10000000
2023-03-17	Denial140	NF-PM1	B1=1000000, B2=65871826020
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2021-09-04	curtisc	CERT	PRP Certification Proof certified good
2021-09-04	H Michaelson	C-PRP	M305441/784372489/128352309301208654532874849 : 8910D9AA53632D15 PRP proof power = 5 PRP: Verified Proof certified good
2021-09-04	nordi	F-ECM	Factor: 128352309301208654532874849 / (ECM curve 27, B1=250000, B2=38500000, Sigma=4196646829938417)
2020-04-18	Oliver Kruse	C-PRP	M305441/784372489 : 8910D9AA53632D15 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-11	ATH	C-PRP	M305441/784372489 : 79D499927AF9BBC8 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M305441/784372489 : 79D499927AF9BBC8 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M305441/784372489 : 79D499927AF9BBC8 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M305441/784372489 : 79D499927AF9BBC8 PRP without proof (not generated)