



4, 5, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 1105, 1106, 1107
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OFFSET

1,1


COMMENTS

A numbertheoretic explanation as to 'why' there is such a large gap between a(2) and a(3) is given in the Mathematics Stack Exchange link given below.


LINKS

Table of n, a(n) for n=1..51.
J. M. Campbell et al., A problem involving the product prod_{k=1..n} k^mu(k), where mu denotes the MÃ¶bius function, Math. Stack Exchange (2016).


EXAMPLE

A055773(897) is approximately equal to 3.6*10^191 and A130087(897) is approximately equal to 8.4*10^192. The third index i such that A055773(i) is not equal to A130087(i) is i=897, and thus a(3)=897.


PROG

(PARI) A055773(n)=prod(i=primepi(n/2)+1, primepi(n), prime(i));
A130087(n)=denominator(prod(k=1, n, k^moebius(k)));
for(i=0, 2000, if(A055773(i)!=A130087(i), print(i)))


CROSSREFS

Cf. A055773, A130087.
Sequence in context: A134463 A298938 A309071 * A058916 A064612 A299639
Adjacent sequences: A270972 A270973 A270974 * A270976 A270977 A270978


KEYWORD

nonn


AUTHOR

John M. Campbell, Mar 27 2016


STATUS

approved



