login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A327408 Smallest integer > 0 so that its remainders modulo the first n primes are less than half their respective moduli. 2
2, 4, 6, 10, 16, 16, 70, 136, 210, 210, 442, 786, 786, 786, 6450, 53110, 53110, 247690, 303810, 303810, 813450, 3443146, 5889382, 9327220, 10068256, 63916062, 63916062, 63916062, 285847290, 285847290, 285847290, 285847290, 370793956, 370793956, 370793956, 370793956 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Bert Dobbelaere, Table of n, a(n) for n = 1..53

EXAMPLE

a(6) = 16.

16 mod 2 = 0 < 2/2

16 mod 3 = 1 < 3/2

16 mod 5 = 1 < 5/2

16 mod 7 = 2 < 7/2

16 mod 11 = 5 < 11/2

16 mod 13 = 3 < 13/2

16 is the smallest integer > 0 satisfying these inequalities for the first 6 primes.

PROG

(PARI) isok(k, vp) = {for (i=1, #vp, if ((k % vp[i]) >= vp[i]/2, return (0)); ); return (1); }

a(n) = {my(k=1, vp = primes(n)); while (!isok(k, vp), k++); k; } \\ Michel Marcus, Sep 08 2019

CROSSREFS

Companion sequence of A327409.

Cf. A002110, A306582, A306612.

Sequence in context: A113117 A179531 A134682 * A083814 A073805 A301374

Adjacent sequences:  A327405 A327406 A327407 * A327409 A327410 A327411

KEYWORD

nonn

AUTHOR

Bert Dobbelaere, Sep 07 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 12 13:34 EDT 2020. Contains 335663 sequences. (Running on oeis4.)