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A204669
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Primes p such that q-p = 62, where q is the next prime after p.
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2
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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
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OFFSET
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1,1
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COMMENTS
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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
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LINKS
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M. F. Hasler, Table of n, a(n) for n = 1..8496 (all terms up to 10^8).
Index entries for primes, gaps between
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MAPLE
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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
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MATHEMATICA
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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 *)
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PROG
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(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
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CROSSREFS
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Cf. A013632, A226657.
Sequence in context: A252549 A231196 A212229 * A227699 A234820 A182292
Adjacent sequences: A204666 A204667 A204668 * A204670 A204671 A204672
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Jan 17 2012
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STATUS
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approved
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