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b number of minimal primes (start with b+1) base b base-b form of largest known minimal prime (start with b+1) base b length of largest known minimal prime (start with b+1) base b algebraic ((a×bn+c)/d) form of largest known minimal prime (start with b+1) base b
2 1 12 2 22−1
3 3 13 3 (33−1)/2
4 5 221 3 (2×43−5)/3
5 22 109313 96 595+8
6 11 40241 5 4×64+25
7 ≥71 3161 17 (717−5)/2
8 75 42207 221 (4×8221+17)/7
9 ≥144 30115811 1161 3×91160+10
10 77 502827 31 5×1030+27
11 ≥891 51612A 163 (11163−57)/2
12 106 403977 42 4×1241+91
13 ≥2451 8032017111 32021 8×1332020+183
14 ≥595 4D19698 19699 5×1419698−1
15 ≥1145 9610408 107 (66×15106−619)/7
16 ≥1873 DB32234 32235 (206×1632234−11)/15