1 787 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 4 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
838124596866091911697	21	69.5	old
928369344831808006294056018847247	33	109.5	old
29794731703779691497303302213997084977	38	124.5	old
414060352832351408864592081627544699350748937	45	148.2	2012-02-03 16:45:46

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	40830 / 40830
60	260000000	105362 / 105362
65	800000000	86525 / 194238

Estimated T-Level: 62.2 ⓘ

TF below 2^202 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	0D1BD79DBF6C906B	4	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	0D1BD79DBF6C906B	4	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	0D1BD79DBF6C906B	4	232	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D6BA22F2CBFCD00F	4	1261	5	3
Verified	No proof (small exponent)	2020-08-12	_p95holder_	D6BA22F2CBFCD00F	4	588	5	3

History

Date	User	Type	Result
2022-09-28	mikr	NF-PM1	B1=400000000000, B2=1310778031989756330
2021-07-24	ViliamF	NF-PP1	Start=2/7, B1=1000000000, B2=221000000000
2020-08-12	_p95holder_	C-PRP	M1787/838124596866091911697/928369344831808006294056018847247/29794731703779691497303302213997084977/414060352832351408864592081627544699350748937 : D6BA22F2CBFCD00F
2020-04-17	Oliver Kruse	C-PRP	M1787/838124596866091911697/928369344831808006294056018847247/29794731703779691497303302213997084977/414060352832351408864592081627544699350748937 : D6BA22F2CBFCD00F
2017-12-07	ATH	C-PRP	M1787/838124596866091911697/928369344831808006294056018847247/29794731703779691497303302213997084977/414060352832351408864592081627544699350748937 : 0D1BD79DBF6C906B
2017-10-02	kkmrkkblmbrbk	C-PRP	M1787/838124596866091911697/928369344831808006294056018847247/29794731703779691497303302213997084977/414060352832351408864592081627544699350748937 : 0D1BD79DBF6C906B
2017-09-21	Oliver Kruse	C-PRP	M1787/known_factors : 0D1BD79DBF6C906B
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=1000000000, B2=100000000000, E=12
2012-02-03	Michael Kenn	F-ECM	Factor: 414060352832351408864592081627544699350748937