5 903 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 8 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
11807	5	13.5	old
15489473	8	23.9	old
42182839	8	25.3	old
238433977	9	27.8	old
69524447849	11	36.0	old
242608820295943	15	47.8	old
113933628835262659075054281343	30	96.5	old
1623767585703001155807748766063	31	100.4	old

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	7159 / 40830

Estimated T-Level: 50.9 ⓘ

TF below 2^164 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	A32657F82A4E54AA	8	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	A32657F82A4E54AA	8	0	1	3
Verified	2017-12-07	ATH	A32657F82A4E54AA	8	2148	1	3
Verified	2020-04-17	Oliver Kruse	68C73D8571D6DB4C	8	1323	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	68C73D8571D6DB4C	1	5535	5	3
Verified	2024-02-03	Wentao Huang	68C73D8571D6DB4C	8	1806	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M5903/11807/15489473/42182839/238433977/69524447849/242608820295943/113933628835262659075054281343/1623767585703001155807748766063 : 68C73D8571D6DB4C PRP: Verified PRP without proof (small exponent)
2023-07-24	-Anonymous-	NF-PM1	B1=42000000000, B2=171618195782983950
2022-05-12	Jorge Coveiro	C-PRP	M5903/11807 : 68C73D8571D6DB4C PRP: Verified PRP without proof (small exponent)
2021-12-16	Lisander Viaene	NF-PM1	B1=200000000
2021-07-06	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M5903/11807/15489473/42182839/238433977/69524447849/242608820295943/113933628835262659075054281343/1623767585703001155807748766063 : 68C73D8571D6DB4C PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M5903/11807/15489473/42182839/238433977/69524447849/242608820295943/113933628835262659075054281343/1623767585703001155807748766063 : A32657F82A4E54AA PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M5903/11807/15489473/42182839/238433977/69524447849/242608820295943/113933628835262659075054281343/1623767585703001155807748766063 : A32657F82A4E54AA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5903/known_factors : A32657F82A4E54AA PRP without proof (not generated)