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A141063
a(n) = n mod (sum of digits of prime(n)).
0
1, 2, 3, 4, 1, 2, 7, 8, 4, 10, 3, 2, 3, 0, 4, 0, 3, 4, 6, 4, 1, 6, 1, 7, 9, 0, 3, 4, 9, 0, 1, 2, 0, 8, 7, 1, 11, 8, 11, 7, 7, 2, 10, 5, 11, 8, 3, 6, 5, 11, 3, 10, 4, 6, 13, 1, 6, 8, 11, 5, 9, 6, 3, 4, 2, 0, 4, 3, 13, 6, 5, 4, 9, 9, 18, 6, 17, 2, 4, 2, 11, 5, 3, 4, 5, 9, 2, 8, 1, 12, 6, 12, 17, 10, 7, 0, 13
OFFSET
1,2
EXAMPLE
Prime(1) = 2, so a(1) = 1 mod 2 = 1;
prime(5) = 11, so a(5) = 5 mod (1+1) = 5 mod 2 = 1.
MAPLE
sd:=proc(n) options operator, arrow: add(convert(n, base, 10)[j], j=1..nops(convert(n, base, 10))) end proc: seq(`mod`(n, sd(ithprime(n))), n=1..100); # Emeric Deutsch, Aug 16 2008
PROG
(PARI) a(n) = n % sumdigits(prime(n)); \\ Michel Marcus, Feb 18 2021
CROSSREFS
Cf. A007605.
Sequence in context: A357143 A337210 A361258 * A138223 A194742 A159798
KEYWORD
nonn,base,less
AUTHOR
EXTENSIONS
Corrected and extended by Emeric Deutsch, Aug 16 2008
STATUS
approved