A270975 Indices i such that A055773(i) is not equal to A130087(i).

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

Offset

1,1

Comments

A number-theoretic 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 Möbius function, Mathematics 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