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A096023 Numbers congruent to {63, 123, 183, 243, 303, 363} mod 420. +0
6
63, 123, 183, 243, 303, 363, 483, 543, 603, 663, 723, 783, 903, 963, 1023, 1083, 1143, 1203, 1323, 1383, 1443, 1503, 1563, 1623, 1743, 1803, 1863, 1923, 1983, 2043, 2163, 2223, 2283, 2343, 2403, 2463, 2583, 2643, 2703, 2763, 2823, 2883, 3003, 3063, 3123 (list; graph; listen)
OFFSET

1,1

COMMENT

Numbers n such that (n+j) mod (2+j) = 1 for j from 0 to 4 and (n+5) mod 7 <> 1.

Numbers n such that n mod 60 = 3 and n mod 420 <> 3.

EXAMPLE

63 mod 2 = 64 mod 3 = 65 mod 4 = 66 mod 5 = 67 mod 6 = 1 and 68 mod 7 = 5, hence 63 is in the sequence.

PROGRAM

(PARI) {k=5; m=3150; for(n=1, m, j=0; b=1; while(b&&j<k, if((n+j)%(2+j)==1, j++, b=0)); if(b&&(n+k)%(2+k)!=1, print1(n, ", ")))}

CROSSREFS

Cf. A007310, A017629, A096022, A096024, A096025, A096026, A096027.

Sequence in context: A038839 A038851 A038865 this_sequence A080947 A023720 A031468

Adjacent sequences: A096020 A096021 A096022 this_sequence A096024 A096025 A096026

KEYWORD

nonn,easy

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Jun 15 2004

EXTENSIONS

New definition from Ralf Stephan, Dec 01, 2004

page 1

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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