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A069348 Primes of the form n + Omega(n), where Omega(n) is the number of prime-factors of n, A001222(n). 6
3, 11, 17, 23, 31, 37, 41, 47, 53, 59, 67, 71, 73, 79, 89, 97, 101, 113, 127, 131, 139, 151, 157, 163, 167, 173, 179, 181, 191, 193, 199, 211, 223, 229, 233, 239, 241, 251, 257, 269, 271, 277, 293, 307, 311, 313, 317, 331, 337 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The representation is ambiguous, see A069349.

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

EXAMPLE

a(10) = 59 = A064800(57) = 57+2 (as 57 = 3*19).

MATHEMATICA

Select[Table[n + PrimeOmega[n], {n, 1, 400}], PrimeQ] // Union (* Jean-Fran├žois Alcover, Jun 08 2013 *)

PROG

(PARI) is(n)=for(k=1, log(n+.5)\log(2), if(bigomega(n-k)==k, return(isprime(n)))); 0 \\ Charles R Greathouse IV, Dec 10 2013

CROSSREFS

Cf. A069346, A069357.

Sequence in context: A175073 A062284 A141339 * A165561 A038960 A019397

Adjacent sequences:  A069345 A069346 A069347 * A069349 A069350 A069351

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Mar 18 2002

EXTENSIONS

Corrected by T. D. Noe, Nov 01 2006

STATUS

approved

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Last modified October 27 17:25 EDT 2020. Contains 338035 sequences. (Running on oeis4.)