A386240 Primes containing the digit string "007" in their decimal representation.

4007, 6007, 9007, 10007, 10079, 12007, 13007, 16007, 20071, 24007, 30071, 36007, 45007, 50077, 60077, 61007, 64007, 70079, 78007, 80071, 80077, 82007, 88007, 90007, 90071, 90073, 94007, 97007, 100703, 100733, 100741, 100747, 100769, 100787, 100799, 103007, 108007

Offset

1,1

Comments

Could also be called "James Bond" primes.

Links

Alois P. Heinz, Table of n, a(n) for n = 1..36628

Karl-Heinz Hofmann, Ascii search picture. Who can find the first 5 terms?

Q-branch staff, The origin of James Bond: unveiling the history behind 007, 21 February 2024.

Reddit, We never saw Daniel Craig's Bond in his prime

Joe Roberts, How James Bond Became 007 (& How Its Meaning Has Changed), Jul 7, 2020.

Joe Roberts, How Did James Bond Get The Codename 007? A Canceled Movie Almost Gave Us The Answer, Feb 24, 2025.

Maple

q:= n-> isprime(n) and searchtext("007", ""||n)>0:
select(q, [$1..110000])[];  # Alois P. Heinz, Jul 17 2025

Mathematica

Select[Prime[Range[553, 12000]], StringContainsQ[IntegerString[#], "007"] &] (* Paolo Xausa, Jul 17 2025 *)

Prog

(Python)
from sympy import sieve
print([sieve[n] for n in range(1, 10200) if "007" in str(sieve[n])]) # Karl-Heinz Hofmann, Jul 17 2025
(PARI) is(n) = if(!isprime(n), return(0)); while(n > 10, if(n%1000==7, return(1)); n\=10); 0 \\ David A. Corneth, Jul 17 2025

Crossrefs

Cf. A386247, A166580, A167282, A193552.

Sequence in context: A228579 A252328 A235307 * A193552 A385078 A107285

Adjacent sequences: A386237 A386238 A386239 * A386241 A386242 A386243

Keyword

nonn,base,dumb,less

Author

Hugo Pfoertner, Jul 16 2025

Status

approved