A292023 - OEIS

A292023

Smallest number starting a longest interval of consecutive integers, each of which is divisible by at least one of n primes specifically chosen to minimize the number.

2, 2, 2, 2, 24, 200, 2298, 30014, 2162, 9699668

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OFFSET

1,1

COMMENTS

This sequence is similar to A049300, except that A049300 uses only the first n primes.

LINKS

Table of n, a(n) for n=1..10.

Pradeep Mutalik, The Prime Rib Problem

FORMULA

Empirical observations, discovered by heuristic methods augmented by computer searches.

EXAMPLE

For n=5, the smallest number generating the maximal interval (13) is 114 using the first n primes. However, if all primes are allowed, the smallest number is 24. Hence a(5) is 24.

CROSSREFS

Cf. A049300 - see comment above. The maximal interval is given by A058989.

Sequence in context: A167394 A029627 A075182 * A286851 A320017 A289087

Adjacent sequences: A292020 A292021 A292022 * A292024 A292025 A292026

KEYWORD

nonn,more

AUTHOR

Pradeep Mutalik, Sep 07 2017

STATUS

approved