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A096474 Difference prime(q+2) - prime(q) as q runs through the lesser-twin-primes. 3
6, 6, 10, 8, 18, 12, 6, 14, 16, 12, 24, 18, 24, 18, 16, 14, 24, 18, 24, 18, 10, 12, 18, 40, 28, 20, 24, 18, 28, 10, 12, 12, 8, 8, 22, 16, 12, 12, 14, 14, 26, 36, 24, 30, 24, 8, 18, 30, 12, 22, 22, 16, 18, 24, 10, 14, 18, 14, 10, 20, 10, 32, 32, 12, 10, 44, 30, 18, 16, 36, 14, 12 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1270

FORMULA

a(n) = prime(A006512(n)) - prime(A001359(n)).

a(n) = A057473(n) - A057470(n). - Michel Marcus, Jul 27 2017

EXAMPLE

{q, q+2} = {17, 19} is the 4th twin-pair and prime(19) - prime(17) = 67 - 59 = 8, so a(4) = 8.

MATHEMATICA

{ta=Table[0, {1300}], tb=Table[0, {1300}], tc=Table[0, {1300}], u=1}; Do[s=Prime[n+1]-Prime[n]; If[Equal[s, 2], ta[[u]]=Prime[Prime[n+1]]-Prime[Prime[n]]; tb[[u]]=n; tc[[u]]=Prime[n]; u=u+1], {n, 1, 10000}]; ta

PROG

(PARI) lista(nn) = {forprime(q=2, nn, if (isprime(q+2), print1(prime(q+2)-prime(q), ", ")); ); } \\ Michel Marcus, Jul 27 2017

CROSSREFS

Cf. A001359, A006512, A057470, A057473.

Sequence in context: A291545 A205372 A301690 * A220439 A240620 A168282

Adjacent sequences:  A096471 A096472 A096473 * A096475 A096476 A096477

KEYWORD

nonn

AUTHOR

Labos Elemer, Jun 23 2004

STATUS

approved

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Last modified November 20 21:03 EST 2019. Contains 329348 sequences. (Running on oeis4.)