A113827
Initial terms associated with the arithmetic progressions of primes in A005115.
Original entry on oeis.org
2, 2, 3, 5, 5, 7, 7, 199, 199, 199, 110437, 110437, 4943, 31385539, 115453391, 53297929, 3430751869, 4808316343, 8297644387, 214861583621, 5749146449311
Offset: 1
Cf.
A115608-
A115613 (number of k-tuples of primes in arithmetic progression less than 10^n).
A115608
Number of triples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
1, 46, 1500, 59504, 2856331, 157300309, 9565120490
Offset: 1
The only 3-tuple less than 10 is {3,5,7}.
A115609
Number of 4-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 11, 318, 10257, 389606, 17636879, 909031090
Offset: 1
The least 4-tuple is {5,11,17,23}.
A115612
Number of 7-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 0, 1, 32, 959, 25018, 793022
Offset: 1
The least 7-tuple is {7,157,307,457,607,757,907}.
A115610
Number of 5-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 2, 58, 1283, 39866, 1495343, 65348949
Offset: 1
The least 5-tuple is {5,11,17,23,29}.
A115611
Number of 6-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 0, 14, 263, 7304, 227456, 8433923
Offset: 1
The least 6-tuple is {7,37,67,97,127,157}.
A273919
Number of 9-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 0, 0, 3, 57, 984, 22551
Offset: 1
The least 9-tuple is {199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879}, which is also the beginning of the least 10-tuple. This explains a(n)=0 for n<4.
Cf.
A113827 (prime beginning minimal n-tuple of primes in AP).
Cf.
A005115,
A115608,
A115609,
A115610,
A115611,
A115612,
A115613,
A273920,
A273921,
A273922,
A273923.
A273920
Number of 10-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 0, 0, 1, 5, 145, 2969
Offset: 1
The least 10-tuple is {199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089}, which explains a(4)=1 (and a(n)=0 for n<4).
Cf.
A113827 (prime beginning minimal n-tuple of primes in AP).
Cf.
A005115,
A115608,
A115609,
A115610,
A115611,
A115612,
A115613,
A273919,
A273921,
A273922,
A273923.
A273921
Number of 11-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 0, 0, 0, 0, 15, 253, 5561
Offset: 1
The least 11-tuple is {110437, 124297, 138157, 152017, 165877, 179737, 193597, 207457, 221317, 235177, 249037} (this is also the beginning of the least 12-tuple). This is one of the 15 11-tuples corresponding to a(6)=15.
Cf.
A113827 (prime beginning minimal n-tuple of primes in AP).
Cf.
A005115,
A093364,
A115608,
A115609,
A115610,
A115611,
A115612,
A115613,
A273919,
A273920,
A273922,
A273923.
A273922
Number of 12-tuples of primes in arithmetic progression less than 10^n.
Original entry on oeis.org
0, 0, 0, 0, 0, 6, 42, 715
Offset: 1
The least 12-tuple is {110437, 124297, 138157, 152017, 165877, 179737, 193597, 207457, 221317, 235177, 249037, 262897}.
Cf.
A113827 (prime beginning minimal n-tuple of primes in AP).
Cf.
A005115,
A093364,
A115608,
A115609,
A115610,
A115611,
A115612,
A115613,
A273919,
A273920,
A273921,
A273923.
Showing 1-10 of 11 results.
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