28 513 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
38698534804547627657	20	65.1	old
4207507845964653812941291553	28	91.8	2014-11-19 04:42:52
222641696701702983833836755210571769	36	117.4	2018-01-24 05:52:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	661 / 4588

Estimated T-Level: 35.7 ⓘ

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	D60D436E037627A4	2	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	D60D436E037627A4	2	0	1	3
Verified (Factored)	2017-12-07	ATH	D60D436E037627A4	2	14779	1	3
Verified	2018-01-24	Netanias	FA974D141B513695	3	6628	5	3
Verified	2018-01-28	Oliver Kruse	FA974D141B513695	3	20510	5	3

History

Date	User	Type	Result
2023-02-19	nordi	NF-PM1	B1=3000000000, B2=925584566816910
2022-10-23	nordi	NF-PM1	B1=3000000000
2018-01-28	Oliver Kruse	C-PRP	M28513/38698534804547627657/4207507845964653812941291553/222641696701702983833836755210571769 : FA974D141B513695 PRP: Verified PRP without proof (small exponent)
2018-01-24	Netanias	C-PRP	M28513/38698534804547627657/4207507845964653812941291553/222641696701702983833836755210571769 : FA974D141B513695 PRP: Verified PRP without proof (small exponent)
2018-01-24	nordi	F-ECM	Factor: 222641696701702983833836755210571769 / (ECM curve 300, B1=3000000, B2=300000000)
2017-12-07	ATH	C-PRP	M28513/38698534804547627657/4207507845964653812941291553 : D60D436E037627A4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M28513/38698534804547627657/4207507845964653812941291553 : D60D436E037627A4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M28513/known_factors : D60D436E037627A4 PRP without proof (not generated)
2016-12-28	kkmrkkblmbrbk	NF-PM1	B1=500000000, B2=10000000000, E=12
2014-11-19	James Hintz	F-ECM	Factor: 4207507845964653812941291553 / (ECM curve 148, B1=250000, B2=25000000)