A107084 Integers k such that 10^k + 33 is prime.

1, 3, 6, 9, 10, 31, 47, 70, 281, 366, 519, 532, 775, 1566, 1627, 2247, 2653, 4381, 4571, 7513, 10581, 13239, 15393, 72267, 105515, 215802

Offset

1,2

Comments

The next term, if it exists, is > 39546. - Robert Price, Aug 21 2010

See Kamada link - primecount.txt for terms, primesize.txt for discovery details including probable or proved primes - search on "10033".

a(26) > 3*10^5. - Robert Price, Oct 26 2023

Links

Table of n, a(n) for n=1..26.

Makoto Kamada, Search for 10w33.

Index entries for primes involving repunits.

Example

For k = 3 we get 10^3 + 33 = 1000 + 33 = 1033, which is prime, so 3 is a term.

Crossrefs

Cf. A049054, A088274, A088275, A095688, A108052, A108050, A108049, A108054.

Sequence in context: A348550 A331841 A223999 * A224353 A224012 A340491

Adjacent sequences: A107081 A107082 A107083 * A107085 A107086 A107087

Keyword

nonn,more

Author

Julien Peter Benney (jpbenney(AT)ftml.net), Jun 08 2005

Extensions

a(20)-a(23) from Robert Price, Aug 21 2010

Edited by Ray Chandler, Dec 23 2010

a(24) from Robert Price, Jan 29 2011

a(26) from Robert Price, Oct 26 2023

a(25) from Kamada data by Tyler Busby, Apr 16 2024

Status

approved