10 103 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
2804693831	10	31.4	old
1939324478385046894380209689	28	90.6	2008-10-16 23:57:24
19796231630999809647666253776369133577441	41	133.9	2016-10-23 15:19:45

P-1 factors

Date	Factors	B1	B2
2016-10-23	19796231630999809647666253776369133577441	10000000000	306764257707616

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	3286 / 16550

Estimated T-Level: 46.0 ⓘ

TF below 2^148 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)	2017-09-20	kkmrkkblmbrbk	94DB7748EAAE73F1	3	0	1	3
Verified	No proof (small exponent)	2017-09-25	George Woltman	94DB7748EAAE73F1	3	9137	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	94DB7748EAAE73F1	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	94DB7748EAAE73F1	3	1939	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	D73E03755BD74AA5	3	4633	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	D73E03755BD74AA5	3	9799	5	3

History

Date	User	Type	Result
2025-02-21	masser	NF-PP1	Start=6/5, B1=640000000, B2=639360000000
2025-01-02	masser	NF-PP1	Start=180/23, B1=640000000, B2=639360000000
2024-12-27	masser	NF-PP1	Start=2/7, B1=625000000, B2=624375000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M10103/1939324478385046894380209689/19796231630999809647666253776369133577441/2804693831 : D73E03755BD74AA5
2022-04-23	-anonymous-	NF-PM1	B1=1000000000000, B2=1401193798255070820
2022-02-05	-anonymous-	NF-PM1	B1=100000000000, B2=120626368428886320
2020-04-17	Oliver Kruse	C-PRP	M10103/2804693831/1939324478385046894380209689/19796231630999809647666253776369133577441 : D73E03755BD74AA5
2017-10-12	kkmrkkblmbrbk	C-PRP	M10103/2804693831/1939324478385046894380209689/19796231630999809647666253776369133577441 : 94DB7748EAAE73F1
2017-10-02	kkmrkkblmbrbk	C-PRP	M10103/2804693831/1939324478385046894380209689/19796231630999809647666253776369133577441 : 94DB7748EAAE73F1
2017-09-25	George Woltman	C-PRP	M10103/known_factors : 94DB7748EAAE73F1
2017-09-20	kkmrkkblmbrbk	C-PRP	M10103/2804693831/1939324478385046894380209689/19796231630999809647666253776369133577441 : 94DB7748EAAE73F1
2016-10-23	kkmrkkblmbrbk	F-PM1	Factor: 107675888780881526412534253592573966707056673272997133564111312995139830837519 / B1=10000000000, B2=306764257707616
2016-09-07	kkmrkkblmbrbk	NF-PM1	B1=100000000, B2=10000000000, E=12
2008-10-16	-anonymous-	F-ECM	Factor: 1939324478385046894380209689