



2, 2, 3, 5, 1, 4, 3, 11, 7, 1, 1, 1, 1, 23, 13, 29, 1, 1, 1, 1, 1, 41, 1, 2, 5, 17, 53, 3, 1, 1, 1, 1, 1, 37, 1, 1, 3, 83, 43, 89, 1, 19, 2, 7, 1, 1, 1, 113, 1, 1, 1, 1, 5, 4, 131, 67, 1, 1, 1, 47, 73, 1, 31, 1, 79, 1, 1, 173, 1, 1, 179, 61, 1, 1, 191, 97, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
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OFFSET

1,1


LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000


FORMULA

a(n) = lcm{i=1..n+1} (prime(i)1) / lcm{i=1..n} (prime(i)1).


EXAMPLE

a(n) = 1 if in prime(n+1)1 no new prime divisor or new power of a prime appear, like LCM[{1, 2, 4, 6, 10, 12, 16, 22}]= LCM[{1, 2, 4, 6, 10, 12, 16, 22, 28}].
a(n) > 1 if in prime(n+1)1 new prime divisor(s) or new power(s) of a prime arise, like in A058254(15) compared with A058254(14), where the new prime divisor is 23 only, so a(14)=23. Such sites of increase do not correspond to the natural order of primes and primepowers like in A054451.


CROSSREFS

Cf. A058254, A002110, A005867, A003418, A054451, A000142, A000010, A003418, A000961.
Sequence in context: A067088 A065519 A329792 * A140183 A280408 A130725
Adjacent sequences: A058253 A058254 A058255 * A058257 A058258 A058259


KEYWORD

nonn


AUTHOR

Labos Elemer, Dec 06 2000


EXTENSIONS

Offset corrected by Amiram Eldar, Sep 24 2019


STATUS

approved



