Composite Details

ID: 20840 | 416 digits

31196294231738916325658680404604191317151879783995090586208023561071714603139056863182655552663015070583566575165089647042060935140704326441006573122363980867880022960458514691991607789554431843873550564620302676192195452466907450724184656010520655945938222255070012853166653550431888769054805197702901620014393332028390802494451782481053184715808018617168878605647702791357004920159166535933229959427865626085001893

Composite Information

ID	20840
Original Form	(27084438465976777061016527961945795819499570381737739030900669679435736448169179^7-1)/(27084438465976777061016527961945795819499570381737739030900669679435736448169179-1)
Current Composite	3119629423173891632565868040460419131715187978399509058620802356107171460313905686318265555266301507...
Digit Length	416
SNFS Possible	Yes
GNFS Equivalent	328
Priority	3
Created	2025-11-17 14:33:38.085361
Last Updated	2025-12-12 16:11:00.059247
Status	Active

T-Level Progress

Current T-Level	t36.11
Target T-Level	t85.0
Progress	42.5%

Work Summary

Total Attempts	2
Total ECM Curves	5,120
P-1 Attempts	0
Factors Found	3

Factors: 47313347074211, 11728890026094221, 2222106193597867963

Factors with Elliptic Curve Group Order Data

Factor	Sigma	Group Order	Group Order Factorization
47313347074211	29,849,482	47313355828376	2^3 * 11^2 * 109 * 12473 * 35951
11728890026094221	29,849,512	11728889953670532	2^2 * 3 * 347 * 2551 * 9421 * 117203
2222106193597867963	29,849,481	2222106192707001128	2^3 * 11 * 59 * 919 * 2029 * 6449 * 35591

Factorization Attempts by Method

ECM 5,120 curves

P-1 0 attempts

P+1 0 attempts

ECM Statistics:

Total Attempts: 2

Total Curves: 5,120

Factors Found: 1

B1 Range: 250,000 - 11,000,000

B1	B2	Param	Curves	Factor Found	Client	Submitted
11,000,000	Stage 1 only	3	2,560	None	KyleAskine-Google-Colab	2025-11-17 15:33
250,000	Stage 1 only	3	2,560	47313347074211... [+2 more]	KyleAskine-Google-Colab	2025-11-17 14:38

P-1 Statistics:

Total Attempts: 0

Factors Found: 0

No P-1 attempts yet.

P+1 Statistics:

Total Attempts: 0

Factors Found: 0

No P+1 attempts yet.