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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A327835 Smallest circular prime with 12 digits in base prime(n).

Original entry on oeis.org

2732225029, 314014500337, 1949332597181, 36440244156523, 123167650691711, 996133536974297, 12637043369352469, 26255687399203543, 182859787113571787
Offset: 4

Views

Author

Giovanni Resta, Sep 27 2019

Keywords

Comments

Excluding repunits, no circular primes with more than 12 digits are known, apart 58589854785907 that in base 11 has 14 digits. Also unknown are circular primes of length at least 12 in composite bases.
Repunits of 12 digits in any base b are not prime because they are always divisible by b+1.
a(4) = 2732225029 found by Felix Fröhlich.

Examples

			a(5) = 314014500337 = (111199AA988A)_11 is the smallest circular prime in base prime(5)=11 with 12 digits. By rotating its base 11 digits we obtain other 11 primes: 2881663478867, 2544462772057, 2513808162347, 2796333050257, 3107328801587, 3135601142617, 2852859684827, 2827155915937, 542325844787, 334614020137, and 315731126987.

Links

Crossrefs

Cf. A016114, A293663, A293660, A327811.
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