The OEIS is supported by the many generous donors to the OEIS Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 diagonal 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: A352081 A257404 A190508 * A195419 A110188 A069236 Adjacent sequences:  A298158 A298159 A298160 * A298162 A298163 A298164 KEYWORD nonn AUTHOR Rémy Sigrist, Jan 14 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 17 17:45 EDT 2022. Contains 353747 sequences. (Running on oeis4.)