The consecutive number game.

394 years ago…

John Smith leaves Virginia to return to England.

&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

&nbsp &nbsp &nbsp &nbsp &nbsp 396
&nbsp 396 has prime factors in a “neat” numerical arrangement:
&nbsp 396 = 112233
&nbsp the first 3 digits are used twice and in order.

396 - Big block Chevy! grunt grunt grunt

SamTrans Route 397 (San Francisco to Palo Alto, California, by train)

&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

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?

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

&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

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

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

Plan your retirement with a 401K.

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

Issue 402 - The State of Occupational Safety and Health in the European Union – Pilot Study; Summary Report
Rather interesting, I think. YMMV.

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

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

405

It’s a movie, apparently

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

&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.

407 bc Lysander defeats Athenian fleet off Notium.

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