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A225534 Numbers whose sum of cubed digits is prime. 4
11, 101, 110, 111, 113, 115, 122, 124, 128, 131, 139, 142, 146, 148, 151, 155, 164, 166, 182, 184, 193, 199, 212, 214, 218, 221, 223, 227, 232, 236, 238, 241, 245, 254, 256, 263, 265, 269, 272, 278, 281, 283, 287, 289, 296, 298, 311, 319, 322, 326, 328, 335 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Note that 11 is the only two-digit number in the sequence.

a(n) ~ n. For 414 < n < 10000, 6.38*n - 528 provides an estimate of a(n) to within 6%.

LINKS

Christian N. K. Anderson, Table of n, a(n) for n = 1..10000

EXAMPLE

139 is in the sequence because 1^3 + 3^3 + 9^3 = 757, which is prime.

MATHEMATICA

Select[Range[350], PrimeQ[Total[IntegerDigits[#]^3]]&] (* Harvey P. Dale, Mar 16 2016 *)

PROG

(R)

digcubesum<-function(x) sum(as.numeric(strsplit(as.character(x), split="")[[1]])^3); library(gmp);

which(sapply(1:1000, function(x) isprime(digcubesum(x))>0))

CROSSREFS

Cf. A197039, A055012, A046459, A225535.

Cf. A165330, A046197.

Cf. A046704, A023194.

Sequence in context: A326108 A292451 A292731 * A245475 A175963 A239236

Adjacent sequences:  A225531 A225532 A225533 * A225535 A225536 A225537

KEYWORD

nonn,base

AUTHOR

Kevin L. Schwartz and Christian N. K. Anderson, May 10 2013

STATUS

approved

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Last modified December 7 04:21 EST 2021. Contains 349567 sequences. (Running on oeis4.)