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A346138
Sphenic numbers that are the product of Mersenne primes.
0
651, 2667, 11811, 27559, 172011, 761763, 1777447, 2752491, 3120771, 7281799, 11010027, 12189603, 28442407, 32247967, 48758691, 49938051, 113770279, 116522119, 199753347, 466091143, 516026527, 2064117919, 3220807683, 7515217927, 12883304451, 30061043719, 33281679391, 45097156587, 133127479327
OFFSET
1,1
COMMENTS
The largest known sphenic number is a term of this sequence.
a(n) == 3 (mod 4) for n >= 1.
LINKS
Wikipedia, Sphenic number (lists the largest known sphenic number)
Wikipedia, Mersenne prime
EXAMPLE
a(1) = 651, since 651 = 3*7*31.
a(2) = 2667, since 2667 = 3*7*127.
a(3) = 11811, since 11811 = 3*31*127.
MATHEMATICA
M = 2^MersennePrimeExponent[Range[12]] - 1; Take[ Union[ Times @@@ Subsets[ M, {3}]], 50]
CROSSREFS
KEYWORD
nonn
AUTHOR
Timothy L. Tiffin, Jul 06 2021
STATUS
approved