9 103 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
2454405479	10	31.2	old
150588276643469519	18	57.1	old
490166749616008974857453852804805521	36	118.6	old
9913168926095839104612583317952523280020398423	46	152.8	2024-06-04 21:50:13

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	6171 / 16550

Estimated T-Level: 46.9 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	B2427FF6EEFCA9F2	3	0	1	3
Factored	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	B2427FF6EEFCA9F2	3	0	1	3
Factored	No proof (small exponent)	2017-12-07	ATH	B2427FF6EEFCA9F2	3	3184	1	3
Factored	No proof (small exponent)	2020-04-17	Oliver Kruse	639EA191282F2FFE	3	593	5	3
Verified	No proof (small exponent)	2024-06-04	nordi	639EA191282F2FFE	4	2957	5	3
Verified	No proof (small exponent)	2024-06-04	nordi	639EA191282F2FFE	4	3750	5	3

History

Date	User	Type	Result
2025-04-20	masser	NF-PP1	Start=83/31, B1=1000000000, B2=999000000000
2024-06-04	nordi	C-PRP	M9103/2454405479/150588276643469519/490166749616008974857453852804805521/9913168926095839104612583317952523280020398423 : 639EA191282F2FFE
2024-06-04	nordi	C-PRP	M9103/2454405479/150588276643469519/490166749616008974857453852804805521/9913168926095839104612583317952523280020398423 : 639EA191282F2FFE
2024-06-04	nordi	F-ECM	Factor: 9913168926095839104612583317952523280020398423 / ECM curve 45, B1=11000000, B2=124155521490, Edwards Sigma=4876621251715935
2023-07-16	JacobZ	NF-PM1	B1=64000000000, B2=263527252205367150
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9103/2454405479/150588276643469519/490166749616008974857453852804805521 : 639EA191282F2FFE
2017-12-07	ATH	C-PRP	M9103/2454405479/150588276643469519/490166749616008974857453852804805521 : B2427FF6EEFCA9F2
2017-10-02	kkmrkkblmbrbk	C-PRP	M9103/2454405479/150588276643469519/490166749616008974857453852804805521 : B2427FF6EEFCA9F2
2017-09-21	Oliver Kruse	C-PRP	M9103/known_factors : B2427FF6EEFCA9F2