:: F E R M A T S E A R C H . O R G

N factoring limits.

Last update : May 13, 2012

Factoring  work :  2,750.716 P_II/400 CPU years
Ecm        work :  1,327.460 P_II/400 CPU years
Gfn        work :    938.795 P_II/400 CPU years
Cumulative work :  5,016.971 P_II/400 CPU years

Active users    : 20
Total  users    : 121

The tables shown on this page refer to the k-ranges reached or reserved by each N.

Ranges from N = 12 to N = 29 show estimated factoring work done using ECM. It is still possible to do trial-factoring work on these numbers with Fermat.exe. Actual factoring levels may be found here.

N limits for ECM (estimated).

Table for 12 < N < 29

N	0	1	2	3	4	5	6	7	8	9
10	-	-	10⁶⁰	10⁶⁰	10⁵⁵	10⁵⁵	10⁵⁰	10⁵⁰	10⁵⁰	10⁴⁵
20	10⁴⁵	10⁴⁰	10⁴⁰	10⁴⁰	10³⁵	10³⁰	<10²⁵	<10²⁵	<10²⁵	<10²⁵

Each table gathers results using a different merging method.

Results come from both Fermatsearch and Prothsearch projects.

N limits for k.

Table for 12 < N < 99

N	0	1	2	3	4	5	6	7	8	9
10	-	-	10¹⁴	1,7.10¹³	7.10¹⁴	7.10¹⁴	6.10¹⁴	6.10¹⁴	6.10¹⁴	6.10¹⁴
20	6.10¹⁴	6.10¹⁴	7.10¹⁴	7.10¹⁴	7.10¹⁴	5.10¹⁴	5.10¹⁴	5.10¹⁴	5,5.10¹⁴	5,5.10¹⁴
30	5.10¹⁴	5.10¹⁴	5.10¹⁴	5.10¹⁴	5.10¹⁴	10¹⁶	1,22.10¹⁶	1,2.10¹⁵	10¹⁵	6.10¹⁴
40	6.10¹⁴	6.10¹⁴	6.10¹⁴	4,5.10¹⁴	4,5.10¹⁴	4.10¹⁴	2,5.10¹⁴	2,1.10¹⁴	10¹⁴	10¹⁴
50	10¹⁴	1,5.10¹⁴	1,5.10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴
60	10¹⁴	10¹⁴	10¹⁴	10¹⁴	5.10¹⁴	5.10¹⁴	5.10¹⁴	10¹⁴	10¹⁴	10¹⁴
70	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴	10¹⁴
80	1,1.10¹⁴	10¹⁴	7.10¹³	3,5.10¹³	3.10¹³	3.10¹³	2.10¹³	2.10¹³	2.10¹³	2.10¹³
90	2.10¹³	2.10¹³	2.10¹³	2.10¹³	2.10¹³	2.10¹³	2.10¹³	2.10¹³	10¹⁴	10¹⁴

Table for 100 < N < 999

N	00-09	10-19	20-29	30-39	40-49	50-59	60-69	70-79	80-89	90-99
100	1,6.10¹³	1,2.10¹³	1,2.10¹³	1,2.10¹³	1,2.10¹³	6.10¹²	6.10¹²	6.10¹²	6.10¹²	6.10¹²
200	9.10¹²	9.10¹²	9.10¹²	9.10¹²	9.10¹²	4.10¹²	4.10¹²	4.10¹²	6,1.10¹¹	6,1.10¹¹
300	6,1.10¹¹	6,1.10¹¹	6,1.10¹¹	6,1.10¹¹	6,1.10¹¹	4,85.10¹¹	2,4.10¹¹	2,4.10¹¹	2,4.10¹¹	2,4.10¹¹
400	2,4.10¹¹	2,4.10¹¹	2,4.10¹¹	2,4.10¹¹	2,4.10¹¹	4.10¹¹	4.10¹¹	4.10¹¹	4.10¹¹	4.10¹¹
500	2.10¹¹	2.10¹¹	2.10¹¹	2.10¹¹	2.10¹¹	2.10¹¹	2.10¹¹	2.10¹¹	2.10¹¹	2.10¹¹
600	10¹¹	10¹¹	10¹¹	10¹¹	10¹¹	10¹¹	10¹¹	10¹¹	10¹¹	10¹¹
700	6,5.10¹⁰	6,5.10¹⁰	6,5.10¹⁰	6,5.10¹⁰	6,5.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰
800	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰	2,2.10¹⁰
900	5.10⁹	5.10⁹	5.10⁹	5.10⁹	5.10⁹	5.10⁹	5.10⁹	5.10⁹	5.10⁹	5.10⁹

Table for 1,000 < N < 9,999

N	000-099	100-199	200-299	300-399	400-499	500-599	600-699	700-799	800-899	900-999
1000	4,2.10⁹	4,2.10⁹	4.10⁹	4.10⁹	4.10⁹	4.10⁹	4.10⁹	4.10⁹	4.10⁹	4.10⁹
2000	10⁹	10⁹	4.10⁸	4.10⁸	4.10⁸	4.10⁸	4.10⁸	4.10⁸	4.10⁸	4.10⁸
3000	4.10⁸	4.10⁸	4.10⁸	4.10⁸	1.10⁸	1.10⁸	1.10⁸	1.10⁸	1.10⁸	1.10⁸
4000	5.10⁷	5.10⁷	5.10⁷	5.10⁷	5.10⁷	5.10⁷	5.10⁷	5.10⁷	5.10⁷	5.10⁷
5000	5.10⁶	5.10⁶	5.10⁶	5.10⁶	5.10⁶	5.10⁶	5.10⁶	5.10⁶	5.10⁶	5.10⁶
6000	10⁸	10⁸	10⁸	10⁸	10⁸	1,5.10⁷	1,5.10⁷	1,5.10⁷	1,5.10⁷	1,5.10⁷
7000	1,5.10⁷	1,5.10⁷	10⁷	10⁷	10⁷	10⁷	10⁷	10⁷	10⁷	10⁷
8000	7.10⁶	7.10⁶	7.10⁶	7.10⁶	7.10⁶	7.10⁶	7.10⁶	7.10⁶	7.10⁶	7.10⁶
9000	5*10⁶	5*10⁶	5*10⁶	5*10⁶	5*10⁶	5*10⁶	5*10⁶	5*10⁶	5*10⁶	5*10⁶

Table for 10,000 < N < 99,999

N	0000-0999	1000-1999	2000-2999	3000-3999	4000-4999	5000-5999	6000-6999	7000-7999	8000-8999	9000-9999
10000	5*10⁶	5*10⁶	5*10⁶	5*10⁶	2*10⁶	2*10⁶	2*10⁶	2*10⁶	2*10⁶	2*10⁶
20000	10⁶	10⁶	10⁶	10⁶	10⁶	500,000	500,000	500,000	500,000	500,000
30000	300,000	300,000	300,000	200,000	200,000	200,000	200,000	200,000	200,000	200,000
40000	200,000	200,000	200,000	200,000	200,000	200,000	200,000	200,000	200,000	200,000
50000	100,000	100,000	100,000	100,000	100,000	100,000	100,000	100,000	100,000	100,000
60000	125,000	30,000	30,000	30,000	30,000	30,000	30,000	30,000	30,000	30,000
70000	30,000	30,000	30,000	20,000	20,000	20,000	20,000	20,000	20,000	20,000
80000	10,000	10,000	10,000	10,000	10,000	10,000	10,000	10,000	10,000	10,000
90000	10,000	10,000	10,000	10,000	10,000	10,000	10,000	10,000	10,000	10,000

Reservations for k > 10,000 merged from Keller's page.

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