163 753 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
2111178920196140260694067113	28	90.8	2009-01-15 02:51:06

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	163 / 1566

Estimated T-Level: 30.5 ⓘ

TF below 2^96 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Amdahl 6 - 1989	17AA6826	0
Verified (Factored)		Don Thomas	D552BAE9D7AA6826	0
Verified (Factored)		Brian J. Beesley	D552BAE9D7AA6826	0
Verified (Factored)		Eivind Triel	D552BAE9D7AA6826	11148

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	E7ED27FE5C6D616F	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	E7ED27FE5C6D616F	1	4333	1	3
Verified	2020-04-17	Oliver Kruse	203C1D40F6402A4E	1	12061	5	3
Verified	2024-02-03	Wentao Huang	203C1D40F6402A4E	1	24869	5	3

History

Date	User	Type	Result
2024-02-03	Naegi Makoto	CERT	PRP Certification Proof certified good
2024-02-03	Wentao Huang	C-PRP	M163753/2111178920196140260694067113 : 203C1D40F6402A4E PRP proof power = 5 PRP: Verified Proof certified good
2022-03-07	LordJulius	NF	no factor from 2^57 to 2^58
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-17	Oliver Kruse	C-PRP	M163753/2111178920196140260694067113 : 203C1D40F6402A4E PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M163753/2111178920196140260694067113 : E7ED27FE5C6D616F PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M163753/2111178920196140260694067113 : E7ED27FE5C6D616F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M163753/2111178920196140260694067113 : E7ED27FE5C6D616F PRP without proof (not generated)
2017-04-30	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=2000000000, E=12
2009-01-15	axn	F-ECM	Factor: 2111178920196140260694067113
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59