# | n | digits | years | discoverer | checking time |
8 | 31 | 10 | 1772 | Euler | 0.001s |
9 | 61 | 19 | 1883 | Pervushin | 0.001s |
10 | 89 | 27 | 1911 | Powers | 0.001s |
11 | 107 | 33 | 1914 | Powers | 0.002s |
12 | 127 | 39 | 1876 | Lucas | 0.003s |
13 | 521 | 157 | 1952 | Robinson | 0.06s |
14 | 607 | 183 | 1952 | Robinson | 0.08s |
15 | 1279 | 386 | 1952 | Robinson | 0.63s |
16 | 2203 | 664 | 1952 | Robinson | 2.22s |
17 | 2281 | 687 | 1952 | Robinson | 2.38s |
18 | 3217 | 969 | 1957 | Riesel | 5.08s |
19 | 4253 | 1281 | 1961 | Hurwitz | 11.92s |
20 | 4423 | 1332 | 1961 | Hurwitz | 13.03s |
21 | 9689 | 2917 | 1963 | Gillies | 100.36s |
22 | 9941 | 2993 | 1963 | Gillies | 106.62s |
23 | 11213 | 3376 | 1963 | Gillies | 140.28s |
24 | 19937 | 6002 | 1971 | Tuckerman | 643.78s |
25 | 21701 | 6533 | 1978 | Noll & Nickel | 797.97s |
26 | 23209 | 6987 | 1979 | Noll & Nickel | 927.54s |
27 | 44497 | 13395 | 1979 | Nelson & Slowinski | 5204.90s |
Require Import PocklingtonRefl.
Set Virtual Machine.
Open Local Scope positive_scope.
Lemma prime1234567891 : prime 1234567891.
Proof.
apply (Pocklington_refl
(Pock_certif 1234567891 2 ((3607, 1)::(2,1)::nil) 12426)
((Proof_certif 3607 prime3607) ::
(Proof_certif 2 prime2) ::
nil)).
exact_no_check (refl_equal true).
Qed.