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

Author

John M. Campbell, Mar 27 2016

Keywords

• nonn

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.

Examples

			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.
		

Links

• 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).

Crossrefs

Cf. A055773, A130087.

Programs

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)))