(24 · 48541# - 72 · U(430, 1, 137) · (73 · U(430, 1, 137) + 37 · U(430, 1, 136)) - 6)3 + (11 · 48541# + 72 · U(430, 1, 137) · (63 · U(430, 1, 137) - 45 · U(430, 1, 136)) - 8)3 + (4 · 48541# + 72 · U(430, 1, 137) · (52 · U(430, 1, 137) + 52 · U(430, 1, 136)) + 9)3
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This prime's information:
| Description: | (24 · 48541# - 72 · U(430, 1, 137) · (73 · U(430, 1, 137) + 37 · U(430, 1, 136)) - 6)3 + (11 · 48541# + 72 · U(430, 1, 137) · (63 · U(430, 1, 137) - 45 · U(430, 1, 136)) - 8)3 + (4 · 48541# + 72 · U(430, 1, 137) · (52 · U(430, 1, 137) + 52 · U(430, 1, 136)) + 9)3 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | p44 : Broadhurst, OpenPFGW |
| Decimal Digits: | 62857 (log10 is 62856.43770197) |
| Rank (*): | 56462 (digit rank is 1) |
| Entrance Rank (*): | 1496 |
| Currently on list? (*): | no |
| Submitted: | 6/4/2004 19:31:48 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 12/10/2005 23:37:59 UTC |
| Database id: | 70589 |
| Status Flags: | none |
| Score (*): | 38.123 (normalized score 0.001) |
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Verification data:
The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions. We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
field value prime_id 70589 person_id 9 machine Linux P4 2.8GHz what prime notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 2739693443...2087339121 [N-1/N+1, Brillhart-Lehmer-Selfridge] trial factoring to 20747914 Running N-1 test using base 48571 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(28672,20) to FFT(28672,19) Reduced from FFT(28672,19) to FFT(28672,18) Reduced from FFT(28672,18) to FFT(28672,17) Reduced from FFT(28672,17) to FFT(28672,16) 417618 bit request FFT size=(28672,16) Running N+1 test using discriminant 48619, base 354+sqrt(48619) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(28672,20) to FFT(28672,19) Reduced from FFT(28672,19) to FFT(28672,18) Reduced from FFT(28672,18) to FFT(28672,17) Reduced from FFT(28672,17) to FFT(28672,16) 417626 bit request FFT size=(28672,16) Calling N-1 BLS with factored part 33.35% and helper 0.00% (100.05% proof) 2739693443...2087339121 is prime! (25200.6060s+0.5438s) modified 2020-07-07 22:30:45 created 2004-06-04 19:53:07 id 75561
Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
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