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 A204669 Primes p such that q-p = 62, where q is the next prime after p. 2
 34061, 190409, 248909, 295601, 305147, 313409, 473027, 479639, 531731, 633497, 682079, 693881, 724331, 777479, 877469, 896201, 1011827, 1088309, 1137341, 1152527, 1179047, 1181777, 1190081, 1210289, 1216619, 1226117, 1272749, 1281587, 1286711, 1305449, 1343801, 1345361, 1357361, 1464179 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS All terms == 5 mod 6. - Zak Seidov, Jan 01 2013 There are no two consecutive primes in the sequence, while there are such primes p=prime(m) that q=prime(m+2) is also a term. First such p's are at indices 554, 908, 1902, 2588, 3035, 5320, 6213, 6881, 7853, 8262, which correspond to 10237391, 15442121, 27374771, 36040469, 41216027, 66544301, 76313597, 83565611, 93112589, 97515359 (respectively). Note that a(554) = 10237391 = A226657(31). - Zak Seidov, Jul 01 2015 Primes p such that A013632(p) = 62. - Robert Israel, Jul 02 2015 LINKS M. F. Hasler, Table of n, a(n) for n = 1..8496 (all terms up to 10^8). Index entries for primes, gaps between MAPLE p:= 2: count:= 0: while count < 40 do q:= nextprime(p); if q - p = 62 then count:= count+1; A[count]:= p; fi; p:= q; od: seq(A[i], i=1..count); # Robert Israel, Jul 02 2015 MATHEMATICA Select[Prime@ Range@ 120000, NextPrime@ # - # == 62 &] (* Michael De Vlieger, Jul 01 2015 *) Select[Partition[Prime[Range[120000]], 2, 1], #[[2]]-#[[1]]==62&][[All, 1]] (* Harvey P. Dale, Apr 01 2017 *) PROG (PARI) g=62; c=o=0; forprime(p=1, default(primelimit), (-o+o=p)==g&write("c:/temp/b204669.txt", c++" "p-g)) \\ M. F. Hasler, Jan 18 2012 (Magma) [n: n in [2..2*10^6 ] | (NextPrime(n)-NextPrime(n-1)) eq 62]; // Vincenzo Librandi, Jul 02 2015 CROSSREFS Cf. A013632, A226657. Sequence in context: A252549 A231196 A212229 * A344666 A227699 A234820 Adjacent sequences: A204666 A204667 A204668 * A204670 A204671 A204672 KEYWORD nonn AUTHOR N. J. A. Sloane, Jan 17 2012 STATUS approved

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Last modified June 14 05:27 EDT 2024. Contains 373393 sequences. (Running on oeis4.)