id:A065721 - OEIS Search Results

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Primes p such that the decimal expansion of its base 3 conversion is also prime.

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2, 67, 79, 103, 139, 157, 181, 193, 199, 211, 229, 277, 283, 307, 313, 349, 367, 373, 409, 421, 433, 439, 463, 523, 541, 547, 571, 577, 751, 829, 883, 919, 1021, 1033, 1039, 1087, 1171, 1249, 1303, 1429, 1483, 1579, 1597, 1621, 1741, 1783, 1789, 1873 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`In general rebase notation (Marc LeBrun): p(n) = (3) [p] (10).`
	EXAMPLE	`E.g. 1033{10} = 1102021{3} is prime but also 1102021{10}.`
	MATHEMATICA	`Select[ Range[1900], PrimeQ[ # ] && PrimeQ[ FromDigits[ IntegerDigits[ #, 3]]] & ]`
	CROSSREFS	`Cf. A065720 up to A065727, A065361.` `Adjacent sequences: A065718 A065719 A065720 this_sequence A065722 A065723 A065724` `Sequence in context: A107993 A131604 A139861 this_sequence A030472 A106998 A107214`
	KEYWORD	`nonn,base`
	AUTHOR	`Patrick De Geest (pdg(AT)worldofnumbers.com), Nov 15 2001.`

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Last modified October 11 09:12 EDT 2008. Contains 144832 sequences.

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