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A232171
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a(n) = the smallest squarefree number (A005117) with n prime factors in a prime(m) + m progression.
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2
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OFFSET
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1,1
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COMMENTS
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Let p(m) = prime(m), let i(p(m)) = m, the subscript of p(m); a(n) = the smallest squarefree number with n prime factors of the form p_1 * p_2 * p_3 * ... * p_n, where p_1 < p_2 < p_3 < ... < p_n with p_n = p_(n-1) + i(p_(n-1)).
a(6) > 10^28.
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LINKS
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EXAMPLE
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206658174154973 = 521*619*733*863*1013; 619 = 521 + 98, 733 = 619 + 114, 863 = 733 + 130, 1013 = 863 + 150 (521 = 98th prime, 619 = 114th prime, 733 = 130th prime, 863 = 150th prime).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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