Message boards : News : Recent sequence merges

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yoyo_rkn Volunteer moderator Project administrator Project developer Project tester Volunteer developer Volunteer tester Project scientist Send message Joined: 22 Aug 11 Posts: 404 Credit: 3,938,519 RAC: 13,666 |
2 of the aliquot sequences we handle have merged with other sequences: 951060 seems to have merged with 398376 and 372402 seems to have merged with 354620 So 2 more sequences are removed from the to do list of the open sequences below 1 million. |

Speedy51 Send message Joined: 25 Jan 12 Posts: 14 Credit: 171,175 RAC: 3,295 |
Can you please explain in layman terms what you mean when you say 2 sequences seem to have merged? Can you also explain how long it takes to complete sequence? |

yoyo_rkn Volunteer moderator Project administrator Project developer Project tester Volunteer developer Volunteer tester Project scientist Send message Joined: 22 Aug 11 Posts: 404 Credit: 3,938,519 RAC: 13,666 |
A Aliquot Sequence is a sequence of numbers where the next number is determined by the proper divisors of the previous number. So all proper divisors of a number is determined (this is what this Boinc project is doing). Afterwards all those divisors are summed up to get the next number. So if you start with 10 it has the divisors 5, 2, 1. Next number would be 8. Divisors of 8 are 4,2,1. Next number would be 7. In short: 10: 5+2+1=8 8: 4+2+1=7 7: 1=1 1: 0 So this sequence ends. This you can do with any starting number. Sometimes it happens that at some points the list of divisors of 2 sequences is identical. So both sequences have the same "next number". They merged. |

Speedy51 Send message Joined: 25 Jan 12 Posts: 14 Credit: 171,175 RAC: 3,295 |
Thank you for the explanation |

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