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Search: id:A086255
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| A086255 |
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a(n) is the first prime which when divided by each of the first through n-th primes yields a prime plus a fraction. a(6) = first prime for which floor(a(6)/j) yields a prime for the following values of j: 2, 3, 5, 7, 11 and 13 (the first 6 primes). |
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1
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OFFSET
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1,1
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COMMENT
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a(n) represents the FIRST prime which meets the requirements described above. All later a(n+m) also meet the requirements of a(n). For a given n there may be many later primes which also satisfy the same requirements of a(n).
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EXAMPLE
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a(5) = 21436799 because 21436799 is the FIRST prime for which floor(21436799/j) is prime when j has any of the values 2,3,5,7, or 11 (the first 5 primes). So 21436799 is allowed because floor(21436799/2) = 10718399, floor(21436799/3) = 7145599, floor(21436799/5) = 4287359, floor(21436799/7) = 3062399 and floor(21436799/11) = 1948799 and all of these values (10718399, 7145599, 4287359, 3062399 and 1948799) are primes.
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CROSSREFS
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Sequence in context: A057659 A098040 A082565 this_sequence A047382 A117140 A031144
Adjacent sequences: A086252 A086253 A086254 this_sequence A086256 A086257 A086258
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KEYWORD
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more,nonn
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AUTHOR
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Chuck Seggelin (barkeep(AT)plastereddragon.com), Jul 14 2003
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