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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.
0
2, 2, 2, 2, 24, 200, 2298, 30014, 2162, 9699668
OFFSET
1,1
COMMENTS
This sequence is similar to A049300, except that A049300 uses only the first n primes.
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
KEYWORD
nonn,more
AUTHOR
Pradeep Mutalik, Sep 07 2017
STATUS
approved