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Lubomir Alexandrov informs me that he studied this sequence in his 1965 notebook. - N. J. A. Sloane, May 23 2008.
a(14)-a(16) from Robert G. Wilson v, Mar 07 2017 using Kim Walisch's primecount.
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a(14), a(15) & -a(16) from Robert G. Wilson v, Mar 07 2017 using Kim Walisch's primecount.
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8, 19, 67, 331, 2221, 19577, 219613, 3042161, 50728129, 997525853, 22742734291, 592821132889, 17461204521323, 575411103069067, 21034688742654437, 846729487306354343
a(14), a(15) & a(16) from Robert G. Wilson v, Mar 07 2017 using Kim Walisch's primecount.
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Lubomir Alexandrov, "Prime Number Sequences And Matrices Generated By Counting Arithmetic Functions", Communications of the Joint Institute of Nuclear Research, E5-2002-55, Dubna, 2002.
D. W. Matula, A natural rooted tree enumeration by prime factorization, SIAM Review, 10, 1968, 273.