[seqfan] Re: Two neighboring digits sum up to a prime

Hans Havermann gladhobo at teksavvy.com
Fri Apr 27 15:58:44 CEST 2012


Jim Nastos wrote:

> The set of numbers with the property that adjacent pairs of digits
> sum to a prime is:
>
> 2 3 4 5 6 7 8 9 11 12 14 16 20 21 23 25 29 30 32 34 38 41 43 47 49 50
> 52 56 58 61 65 67 70 74 76 83 85 89 92 94 98 111 112 114 116 120 121
> 123 125 129 141 143 147 149 161 165 167 200 202 203 205 207 211 212
> 214 216 230 232 234 238 250 252 256 258 292 294 298 300 302 303 305
> 307 320 321 323 325 329 341 343 347 349 383 385 389 411 412 414 416
> 430 432 434 438 470 474 476 492 494 498 500 502 503 505 507 520 521
> 523 525 529 561 565 567 583 585 589 611 612 614 616 650 652 656 658
> 670 674 676 700 702 703 705 707 741 743 747 749 761 765 767 830 832
> 834 838 850 852 856 858 892 894 898 920 921 923 925 929 941 943 947
> 949 983 985 989
> (not in OEIS, even if single-digit numbers are excluded)
>
>  Single digit numbers are included here because the set of possible
> "adjacent-digit-sums" is an empty set.

And why are 0 and 1 excluded from your single-digit inclusion?



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