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A298161 Nonnegative numbers n such that for any k > 0, n + k is not a multiple of prime(k) (where prime(k) denotes the k-th prime). 2
0, 8, 18, 26, 36, 54, 56, 74, 84, 86, 134, 140, 156, 168, 170, 174, 194, 200, 216, 224, 236, 240, 246, 260, 300, 308, 324, 326, 366, 368, 386, 390, 414, 420, 440, 456, 464, 476, 494, 498, 518, 536, 560, 564, 576, 590, 594, 624, 630, 650, 660, 678, 698, 708 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Equivalently, these are the numbers n >= 0 such that A298155(n) = 1.

Equivalently, these are the numbers n >= 0 such that the diagnoal of A060175 starting at A060175(n+1, 1) contains only zeros.

All terms are even.

This sequence is a subsequence of A005843, A007494, A047207 and A047318.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

FORMULA

A007814(a(n) + 1) = 0.

A007949(a(n) + 2) = 0.

A112765(a(n) + 3) = 0.

A214411(a(n) + 4) = 0.

MAPLE

filter:= proc(n) local p, k;

  p:= 1:

  for k from 1 do

    p:= nextprime(p);

    if p > n+k then return true

    elif n+k mod p = 0 then return false

    fi

  od

end proc:

select(filter, [seq(i, i=0..1000, 2)]); # Robert Israel, Jan 16 2018

CROSSREFS

Cf. A005843, A007494, A007814, A007949, A047207, A047318, A060175, A112765, A214411, A298155.

Sequence in context: A201056 A257404 A190508 * A195419 A110188 A069236

Adjacent sequences:  A298158 A298159 A298160 * A298162 A298163 A298164

KEYWORD

nonn

AUTHOR

Rémy Sigrist, Jan 14 2018

STATUS

approved

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Last modified February 18 15:33 EST 2018. Contains 299324 sequences. (Running on oeis4.)