### Random Post

### Recent Posts

- Tantalizer 450: Marriage problems
- Enigma 1057: Recycled change
- Enigma 452: Figure out these letters
- Puzzle 46: I lose my specs
- Enigma 1058: A row of colours
- Enigma 451: Double halved
- Tantalizer 451: Death rates
- Enigma 1059: Century break
- Enigma 450: A pentagonal problem
- Puzzle 48: Verse on the island

### Recent Comments

Jim Randell on Tantalizer 450: Marriage … | |

Brian Gladman on Enigma 1057: Recycled cha… | |

Jim Randell on Enigma 1057: Recycled cha… | |

geoffrounce on Enigma 452: Figure out these… | |

Jim Randell on Enigma 452: Figure out these… |

### Archives

### Categories

- article (11)
- enigma (1,183)
- misc (2)
- project euler (2)
- puzzle (46)
- site news (46)
- tantalizer (50)
- teaser (3)

### Site Stats

- 184,975 hits

Advertisements

This Python 3 program constructs all possible length 10 chains, and then checks the additional conditions. It runs in 84ms.

Solution:The third prime in the chain is 73. The sixth prime in the chain is 19. The ninth prime in the chain is 17.The entire chain is: (13, 37, 73, 31, 11, 19, 97, 71, 17, 79).