# The consecutive number game.

**URL:** <https://boards.straightdope.com/t/the-consecutive-number-game/187020>\
**Category:** Miscellaneous and Personal Stuff I Must Share\
**Created:** [July 8, 2003, 4:06pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020 "2003-07-08T16:06:16Z")\
**Posts on this page:** 20\
**Page:** 23

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**Author:** ![Odinoneeye](https://avatars.discourse-cdn.com/v4/letter/o/97f17d/32.png) [@Odinoneeye](https://boards.straightdope.com/u/Odinoneeye)\
**Post date:** [August 23, 2003, 8:21am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/441 "2003-08-23T08:21:07Z")

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394 years ago…

John Smith leaves Virginia to return to England.

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 7:01pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/442 "2003-08-23T19:01:22Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **395**  
&nbsp 395 is the sum of 3 consecutive prime numbers:  
&nbsp 127 + 131 + 137

&nbsp 395 is also the sum of 5 consecutive primes:  
&nbsp 71 + 73 + 79 + 83 + 89

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 7:10pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/443 "2003-08-23T19:10:50Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **396**  
&nbsp 396 has prime factors in a “neat” numerical arrangement:  
&nbsp 396 = 11_2_2_3_3  
&nbsp the first 3 digits are used twice _and_ in order.

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**Author:** ![if6was9](https://avatars.discourse-cdn.com/v4/letter/i/e47c2d/32.png) [@if6was9](https://boards.straightdope.com/u/if6was9)\
**Post date:** [August 23, 2003, 7:11pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/444 "2003-08-23T19:11:21Z")

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**396** - Big block Chevy! _grunt_ _grunt_ _grunt_

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**Author:** ![Sternvogel](https://avatars.discourse-cdn.com/v4/letter/s/bc79bd/32.png) [@Sternvogel](https://boards.straightdope.com/u/Sternvogel)\
**Post date:** [August 23, 2003, 7:21pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/445 "2003-08-23T19:21:43Z")

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SamTrans [Route 397](http://www.transitinfo.org/Sched/SM/397/M/) (San Francisco to Palo Alto, California, by train)

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 7:29pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/446 "2003-08-23T19:29:05Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **397**  
&nbsp 397 is the sum of 2 squares 19[sup]2[/sup] + 6[sup]2[/sup]  
&nbsp = 361 + 36

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 7:37pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/447 "2003-08-23T19:37:32Z")

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Hmmm seems we’re getting double postings.  
Luckily, it has remained in numerical order.  
Any rules for taking turns OR should we just let these fall where they may?

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**Author:** ![if6was9](https://avatars.discourse-cdn.com/v4/letter/i/e47c2d/32.png) [@if6was9](https://boards.straightdope.com/u/if6was9)\
**Post date:** [August 23, 2003, 7:42pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/448 "2003-08-23T19:42:34Z")

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I’d say let them fall where they may. Can’t really stop simulposts…

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 9:52pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/449 "2003-08-23T21:52:36Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **398**  
The number 398 can be derived using 3 consecutive cubes:  
&nbsp &nbsp &nbsp &nbsp &nbsp &nbsp &nbsp 9[sup]3[/sup] = 729  
&nbsp &nbsp &nbsp &nbsp &nbsp 10[sup]3[/sup] = 1,000  
Minus 11[sup]3[/sup] = -1,331  
Equals &nbsp &nbsp &nbsp &nbsp &nbsp &nbsp 398

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 9:58pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/450 "2003-08-23T21:58:48Z")

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&nbsp **399**  
The sum of eleven consecutive primes: 17 19 23 29 31 37 41 43 47 53 and 59

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 10:00pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/451 "2003-08-23T22:00:22Z")

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&nbsp **400**  
&nbsp 400 is a perfect square = 20[sup]2[/sup]

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**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 23, 2003, 10:02pm UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/452 "2003-08-23T22:02:02Z")

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Plan your retirement with a **401** K.

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**Author:** ![LilyoftheValley](https://avatars.discourse-cdn.com/v4/letter/l/54ee81/32.png) [@LilyoftheValley](https://boards.straightdope.com/u/LilyoftheValley)\
**Post date:** [August 24, 2003, 12:04am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/453 "2003-08-24T00:04:30Z")

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From the European Agency for Safety and Health at Work, you can get:

Issue [402](http://agency.osha.eu.int/publications/reports/402/en/) - The State of Occupational Safety and Health in the European Union – Pilot Study; Summary Report  
Rather interesting, I think. YMMV.

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<div class="post-metadata">

**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 24, 2003, 3:18am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/454 "2003-08-24T03:18:58Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **403**  
&nbsp 403 has 2 double digit prime factors and these factors are pallindromes  
&nbsp 403 = 13 \* 31

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<div class="post-metadata">

**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 24, 2003, 3:36am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/455 "2003-08-24T03:36:12Z")

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&nbsp **404**  
The dreaded Error 404 that shows up much too frequently when surfing the 'Net by clicking on links that are ancient.

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<div class="post-metadata">

**Author:** ![green\_bladder](https://avatars.discourse-cdn.com/v4/letter/g/73ab20/32.png) [@green\_bladder](https://boards.straightdope.com/u/green_bladder)\
**Post date:** [August 24, 2003, 3:39am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/456 "2003-08-24T03:39:53Z")

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**405**

It’s a movie, [apparently](http://www.405themovie.com/Home.asp)

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<div class="post-metadata">

**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 24, 2003, 3:40am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/457 "2003-08-24T03:40:03Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **405**  
&nbsp 3[sup]4[/sup]\*5 = 405  
&nbsp Nice 3 4 5 numerical progression

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<div class="post-metadata">

**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 24, 2003, 3:42am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/458 "2003-08-24T03:42:54Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **406**  
The 28th triangular number, being the sum of the integers 1 through 28.

* * *

Perhaps a better description of the 403 posting would be its prime factors are mirror images of each other.

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<div class="post-metadata">

**Author:** ![Petrichor](https://avatars.discourse-cdn.com/v4/letter/p/e19adc/32.png) [@Petrichor](https://boards.straightdope.com/u/Petrichor)\
**Post date:** [August 24, 2003, 3:50am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/459 "2003-08-24T03:50:12Z")

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407 bc Lysander defeats Athenian fleet off Notium.

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<div class="post-metadata">

**Author:** ![wolf\_meister](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/wolf_meister/32/15202_2.png) [@wolf\_meister](https://boards.straightdope.com/u/wolf_meister)\
**Post date:** [August 24, 2003, 3:56am UTC](https://boards.straightdope.com/t/the-consecutive-number-game/187020/460 "2003-08-24T03:56:35Z")

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&nbsp &nbsp &nbsp &nbsp &nbsp **407**  
&nbsp 407 is the sum of 3 consecutive primes: 131, 137 & 139

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