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A206462 Primes p such that p + nextprime(p) is a squarefree number (A005117). 3
2, 13, 19, 37, 67, 89, 103, 109, 127, 163, 193, 199, 211, 229, 307, 379, 389, 397, 449, 463, 467, 479, 487, 499, 509, 613, 643, 661, 683, 701, 719, 739, 757, 769, 797, 859, 877, 883, 887, 911, 929, 937, 967, 983, 997, 1009, 1093, 1109, 1163, 1201, 1237, 1279 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

FORMULA

a(n) + nextprime(a(n)) = A206329(n).

A008966(A001043(A049084(a(n)))) = 1. [Reinhard Zumkeller, Feb 08 2012]

EXAMPLE

13 + 17 = 30 = A206329(2).

MATHEMATICA

Prime[Select[Range[200], Abs[MoebiusMu[Prime[#] + Prime[# + 1]]] == 1 &]] (* Alonso del Arte, Feb 08 2012 *)

PROG

(Haskell)

a206462 n = a206462_list !! (n-1)

a206462_list = map (a000040 . (+ 1)) $

elemIndices 1 $ map a008966 a001043_list

-- Reinhard Zumkeller, Feb 08 2012

CROSSREFS

Cf. A001043, A001358, A005117, A206329.

Sequence in context: A309663 A347259 A181686 * A339542 A020601 A298051

Adjacent sequences: A206459 A206460 A206461 * A206463 A206464 A206465

KEYWORD

nonn

AUTHOR

Zak Seidov, Feb 07 2012

STATUS

approved

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Last modified November 26 21:15 EST 2022. Contains 358362 sequences. (Running on oeis4.)