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Search: id:A118578
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OFFSET
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1,1
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COMMENT
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There are no more solutions (of the probably infinite sequence) with n <= 200, equivalently with p(n) <= 1223. The smoothed mean absolute value of the determinant gradually and irregularly increases. The maximum absolute value of the determinant through n=200 is A118799(174) = 1345152.
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FORMULA
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n such that the determinant of the 4 X 4 matrix of continuous blocks of 16 consecutive primes, starting with prime(n), is equal to 0. n such that this matrix is singular: |p(n) p(n+1) p(n+2) p(n+3) | |p(n+4) p(n+5) p(n+6) p(n+7) | |p(n+8) p(n+9) p(n+10) p(n+11)| |p(n+12) p(n+13) p(n+14) p(n+15)|.
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EXAMPLE
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a(1) = 21 because A118799(21) = 0 because of the singular matrix:
| 73 79 83 89 |
| 97 101 103 107|
|109 113 127 131|
|137 139 149 151|.
a(4) = 80 because A118799(80) = 0 because of the singular matrix:
|409 419 421 431|
|433 439 443 449|
|457 461 463 467|
|479 487 491 499|.
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CROSSREFS
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Cf. A000040, A118799.
Sequence in context: A111356 A033267 A141734 this_sequence A118568 A020269 A035700
Adjacent sequences: A118575 A118576 A118577 this_sequence A118579 A118580 A118581
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KEYWORD
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bref,easy,nonn
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AUTHOR
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Jonathan Vos Post (jvospost3(AT)gmail.com), May 24 2006
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