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Journal Articles Experimental Mathematics Year : 2002

## Aliquot Sequence 3630 Ends After Reaching 100 Digits

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Manuel Benito
• Function : Author
Wolfgang Creyaufmueller
• Function : Author
Juan Luis Varona
• Function : Author
Paul Zimmermann

#### Abstract

In this paper we present a new computational record: the aliquot sequence starting at $3630$ converges to~$1$ after reaching a hundred decimal digits. Also, we show the current status of all the aliquot sequences starting with a number under $10000$. In particular, we have reached at least $112$ digits for the so-called Lehmer five sequences'', and 101 digits for the Godwin twelve sequences''. Finally, we give a summary showing the number of aliquot sequences of unknown end starting with a number~$\le 10^6$.

#### Domains

Computer Science [cs] Other [cs.OH]

### Dates and versions

inria-00101005 , version 1 (26-09-2006)

### Identifiers

• HAL Id : inria-00101005 , version 1

### Cite

Manuel Benito, Wolfgang Creyaufmueller, Juan Luis Varona, Paul Zimmermann. Aliquot Sequence 3630 Ends After Reaching 100 Digits. Experimental Mathematics, 2002, 11 (2), pp.201-206. ⟨inria-00101005⟩

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