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A210704 Primes formed by initial digits of 3^(1/3) = A002581, i.e., of the form floor[3^(1/3)*10^k]. 5
144224957030740838232163, 144224957030740838232163831078010958839186925349935057754641619454168759682999733 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Inspired by prime curios about 4957 (cf. LINKS), one of which honors the late Bruce Murray, 30.11.1931 - 29.8.2013.

See A210706 for the k-values. The keyword "less" for this records means that the next term (2488 digits) cannot be added / displayed here, and instead of listing further primes here, the k-values should be recorded in A210706.

LINKS

Table of n, a(n) for n=1..2.

C. Caldwell, G.L. Honaker (Eds.), 4957 (another Prime Pages' Curiosity).

FORMULA

a(n) = floor[A002581 * 10^A210706(n)], where A002581 is taken as a constant.

PROG

(PARI) (c=sqrtn(3, 3), v=1/*set to 0 for indices instead of values*/)->for(k=0, precision(c), ispseudoprime(p=c\.1^k)&&print1([k, p][1+v]", "))

CROSSREFS

Cf. A005042 (analog for Pi), A007512 (analog for e), A115453 (analog for sqrt(2)), A119343 (analog for sqrt(3)), A072952 (analog for gamma).

Sequence in context: A105299 A094232 A234594 * A132185 A003942 A003935

Adjacent sequences:  A210701 A210702 A210703 * A210705 A210706 A210707

KEYWORD

nonn,bref,less,base

AUTHOR

M. F. Hasler, Aug 31 2013

STATUS

approved

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Last modified May 30 18:38 EDT 2020. Contains 334728 sequences. (Running on oeis4.)