4 783 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
3694965073643903392086015598839991	34	111.5	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	14352 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	120C0BF87851E2DA	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	120C0BF87851E2DA	1	3564	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0315893E7E29E867	1	4360	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	0315893E7E29E867	1	3147	5	3

History

Date	User	Type	Result
2025-05-20	masser	NF-PP1	Start=173/61, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M4783/3694965073643903392086015598839991 : 0315893E7E29E867
2023-05-28	-anonymous-	NF-PM1	B1=66000000000, B2=662102605034570700
2021-07-09	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4783/3694965073643903392086015598839991 : 0315893E7E29E867
2017-10-12	kkmrkkblmbrbk	C-PRP	M4783/3694965073643903392086015598839991 : 120C0BF87851E2DA
2017-09-21	Oliver Kruse	C-PRP	M4783/3694965073643903392086015598839991 : 120C0BF87851E2DA
2017-09-21	Oliver Kruse	C-PRP	M4783/3694965073643903392086015598839991 : 120C0BF87851E2DA
2002-09-22	-anonymous-	NF-PM1	B1=3221225472, B2=4290000000, E=48
2002-08-10	-anonymous-	NF-PM1	B1=2147483648, B2=4290000000, E=48
2002-06-02	-anonymous-	NF-PM1	B1=1073741824, B2=4290000000, E=48
2001-07-17	-anonymous-	NF-PM1	B1=3000000000, B2=4290000000
2001-06-17	-anonymous-	NF-PM1	B1=43000000, B2=4290000000
2001-02-11	-anonymous-	NF-PM1	B1=1000000, B2=100000000
2000-08-17	-anonymous-	NF	no factor TF: 1-56
2000-02-09	-anonymous-	NF	no factor TF: 54-55
1999-12-30	-anonymous-	NF	no factor TF: 53-54
1998-08-16	-anonymous-	NF	no factor TF: 52-53