12 743 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
33027807273509555634817	23	74.8	old
7907597223190323431704817	25	82.7	2008-11-22 12:25:27

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1253 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 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	D65E3F7F37EE2BFD	2	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	D65E3F7F37EE2BFD	2	0	1	3
Verified	2017-12-07	ATH	D65E3F7F37EE2BFD	2	7212	1	3
Verified	2020-04-17	Oliver Kruse	75E31AA329010C99	2	2776	5	3
Verified	2023-05-24	-Anonymous-	75E31AA329010C99	2	12589	5	3
Verified	2023-05-24	reclux	75E31AA329010C99	2	8895	5	3

P-1 factors

Date	Factor	B1	B2
2023-05-24	33027807273509555634817	100000000000	120417199046794656

History

Date	User	Type	Result
2023-05-24	reclux	C-PRP	M12743/33027807273509555634817/7907597223190323431704817 : 75E31AA329010C99 PRP: Verified PRP without proof (small exponent)
2023-05-24	-Anonymous-	C-PRP	M12743/33027807273509555634817/7907597223190323431704817 : 75E31AA329010C99 PRP: Verified PRP without proof (small exponent)
2023-05-24	-Anonymous-	F-PM1	Factor: 33027807273509555634817 / (P-1, B1=100000000000, B2=120417199046794650)
2023-05-14	JacobZ	NF-PM1	B1=8700000000, B2=36024966470342850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M12743/33027807273509555634817/7907597223190323431704817 : 75E31AA329010C99 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M12743/33027807273509555634817/7907597223190323431704817 : D65E3F7F37EE2BFD PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M12743/33027807273509555634817/7907597223190323431704817 : D65E3F7F37EE2BFD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M12743/33027807273509555634817/7907597223190323431704817 : D65E3F7F37EE2BFD PRP without proof (not generated)
2008-11-22	-Anonymous-	F-ECM	Factor: 7907597223190323431704817