sequences and series involving the sequence of composite numbers
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ID: 260228
2002
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Abstract
Denoting by pn and cn the nth prime number and the nth composite number, respectively, we prove that both the sequence (xn)n≥1, defined by xn=∑k=1n (ck+1−ck) / k−pn / n, and the series ∑n=1∞ (pcn−cpn) / npn are convergent.
| Reference Key |
vlamos2002internationalsequences
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|---|---|
| Authors | ;Panayiotis Vlamos |
| Journal | structural engineering and mechanics |
| Year | 2002 |
| DOI |
10.1155/S016117120201284X
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| URL | |
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