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 A109182 Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits. 2
 293, 2106, 2161, 2763, 3698, 3793, 3795, 3812, 3922, 3959, 3995, 4000, 4205, 4224, 4260, 4728, 4953, 5065, 5283, 5617, 5700, 5751, 5932, 6326, 6333, 6422, 6539, 6623, 7375, 7475, 7501, 7533, 7542, 8306, 8568, 8751, 8777, 8994, 9102, 9259, 9354, 9480 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Most of the pairs of successive primes also have the same set of digits. Those with different sets of digits are in A109183; the first relative numbers k are 3795, 3995, 10234, 17125, 18134, 19322, 20979. LINKS EXAMPLE prime(293)=1913, prime(294)=1931; both have the same sum of digits squared: 1^2 + 9^2 + 1^2 + 3^2 = 1^2 + 9^2 + 3^2 + 1^2 = 92. MATHEMATICA SequencePosition[Table[Total[IntegerDigits[Prime[n]]^2], {n, 10000}], {x_, x_}][[All, 1]] (* Harvey P. Dale, Jul 21 2021 *) CROSSREFS Cf. A109183. Sequence in context: A217182 A109562 A023305 * A342874 A241047 A085502 Adjacent sequences:  A109179 A109180 A109181 * A109183 A109184 A109185 KEYWORD base,nonn AUTHOR Zak Seidov, Jun 21 2005 STATUS approved

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Last modified January 24 21:35 EST 2022. Contains 350565 sequences. (Running on oeis4.)