A163648 Primes p with a prime number of syllables in their name in American English.

7, 11, 13, 17, 19, 23, 29, 31, 41, 43, 53, 59, 61, 83, 89, 107, 113, 127, 137, 157, 167, 173, 179, 197, 227, 257, 271, 307, 313, 337, 347, 367, 373, 379, 397, 419, 457, 467, 479, 487, 547, 557, 571, 587, 607, 613, 619, 647, 673, 701, 709, 733, 739, 743, 751

Offset: 1

Author

Jonathan Vos Post, Aug 02 2009

Keywords

• word
• easy
• nonn

Comments

The word "and" is excluded, 101 is "one hundred one" rather than "one hundred and one."

See A231073 and A231075 for the analogs counting words resp. letters. - M. F. Hasler, Nov 03 2013

Examples

			a(1) = 7, which has a prime number, 2, of syllables sev-en. a(2) = 11, which has a prime number, 3, of syllables e-lev-en.
		

Links

• Index to OEIS: sequences related to English words for n

Crossrefs

Cf. A000040, A075774, A164043.

Programs

PARI

forprime(p=1,900,isprime(A075774(p))&&print1(p",")) \\ - M. F. Hasler, Nov 03 2013

PARI

is(p)=isprime(A075774(p))&&isprime(p) \\ - M. F. Hasler, Nov 03 2013

Python

# uses function in A075774
from sympy import isprime
def ok(n): return isprime(A075774(n)) and isprime(n)
print([k for k in range(800) if ok(k)]) # Michael S. Branicky, May 27 2024

Formula

{p in A000040 such that A075774(p) is in A000040}.

Extensions

Extended and edited by Charles R Greathouse IV, Nov 02 2009

Values double-checked by M. F. Hasler, Nov 03 2013