5 527 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
249997794593	12	37.9	old
2735197430247287318733987291839	31	101.1	old
9183938019937265352053559587903	31	102.9	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	11062 / 16550

Estimated T-Level: 48.3 ⓘ

TF below 2^156 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	4F69D345DA7D93E3	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	4F69D345DA7D93E3	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	4F69D345DA7D93E3	3	3196	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0AC51DBE4D5CBB2C	3	4318	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	0AC51DBE4D5CBB2C	3	4007	5	3

History

Date	User	Type	Result
2025-05-11	masser	NF-PP1	Start=177/47, B1=2100000000, B2=2097900000000
2024-02-03	Wentao Huang	C-PRP	M5527/249997794593/2735197430247287318733987291839/9183938019937265352053559587903 : 0AC51DBE4D5CBB2C
2023-07-13	-anonymous-	NF-PM1	B1=45000000000, B2=181622797963056450
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-16	Oliver Kruse	NF-PM1	B1=1000000000, B2=1002106985940060
2020-04-17	Oliver Kruse	C-PRP	M5527/249997794593/2735197430247287318733987291839/9183938019937265352053559587903 : 0AC51DBE4D5CBB2C
2017-12-07	ATH	C-PRP	M5527/249997794593/2735197430247287318733987291839/9183938019937265352053559587903 : 4F69D345DA7D93E3
2017-10-02	kkmrkkblmbrbk	C-PRP	M5527/249997794593/2735197430247287318733987291839/9183938019937265352053559587903 : 4F69D345DA7D93E3
2017-09-21	Oliver Kruse	C-PRP	M5527/known_factors : 4F69D345DA7D93E3