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A066277 Primes p(m) such that a prime number q exists so that p(m)-q = c(m), the m-th composite number. 4
2, 3, 5, 7, 17, 23, 29, 31, 41, 43, 67, 89, 97, 131, 139, 157, 281, 311, 313, 331, 353, 379, 401, 431, 449, 499, 569, 571, 607, 631, 683, 733, 743, 751, 787, 829, 881, 883, 947, 967, 983, 1033, 1091, 1117, 1123, 1151, 1301, 1303, 1327, 1373, 1543, 1559 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Number of terms < 10^k: 4, 13, 41, 177, 1119, 6963, 48647, 359109, 2766164, ..., . - Robert G. Wilson v, Dec 11 2017

LINKS

Robert G. Wilson v, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = prime(A060253(n)) or A000040(A060253(n)). - Michel Marcus, Dec 11 2017

EXAMPLE

p(25) = A000040(25) = 97; 97 - 61 = A002808(25) = c(25) = 38 and 61 is prime.

MATHEMATICA

Composite[n_Integer] := FixedPoint[n + PrimePi@# +1 &, n + PrimePi@n +1]; fQ[n_] := PrimeQ[Prime@n - Composite@n]; Prime@ Select[ Range@250, fQ] (* Robert G. Wilson v, Dec 11 2017 *)

CROSSREFS

Cf. A000040, A002808, A038529, A060253.

Sequence in context: A319823 A286499 A116947 * A164134 A152184 A135948

Adjacent sequences:  A066274 A066275 A066276 * A066278 A066279 A066280

KEYWORD

nonn

AUTHOR

Labos Elemer, Dec 10 2001

STATUS

approved

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Last modified October 20 18:08 EDT 2018. Contains 316401 sequences. (Running on oeis4.)