A376221 The smallest Champernowne prime in base n.

3, 5, 109, 7, 18796638871, 131870666077, 83, 11, 1234567891, 13, 24677

Offset: 2

Author

Scott R. Shannon, Sep 16 2024

Keywords

• nonn
• more
• base

Comments

See A176942 for further details.

If a(13) exists it has more than 4800 decimal digits. See the attached text file for other known values up to n = 36.

If a(13) exists it has more than 86468 decimal digits, corresponding to concatenation of up to 20000 base-13 numbers. - Michael S. Branicky, Sep 20 2024

Examples

			a(2) = 3 as 11_2 is prime.
a(3) = 5 as 12_3 is prime.
a(4) = 109 as 1231_4 is prime.
a(5) = 7 as 12_5 is prime.
a(6) = 18796638871 as 12345101112131_6 is prime.
a(7) = 131870666077 as 12345610111213_7 is prime.
a(8) = 83 as 123_8 is prime.
a(9) = 11 as 12_9 is prime.
a(10) = 1234567891 as 1234567891_10 is prime. See A176942.
a(11) = 13 as 12_11 is prime.
a(12) = 24677 as 12345_12 is prime.
		

Links

• Scott R. Shannon, a(n) for n = 2..36. A value of -1 indicates the term is currently unknown.

Crossrefs

Cf. A176942, A073175, A114754, A000040, A362429.