EUREKA!!!!!!!!!!!!!!!!!!!!!!!!

Joshua Zucker joshua.zucker at gmail.com
Wed Dec 20 23:16:39 CET 2006


On 12/16/06, Jonathan Post <jvospost3 at gmail.com> wrote:
> the fact that the number of syllables in a haiku is prime.

OK, then, how about this (silly!) sequence:
"Haiku primes" are primes p such that p + nextprime(p) + p is also prime.
For example, 5 is the canonical haiku prime because 5, 7, and 5 are
all prime, and so is 5+7+5.

[Of course, there could be argument about where the 7 comes from: is
it nextprime(p) or is it p+2 or is it some other function?  If it's
p+2 then the sequence is already in OEIS as A023208]

Haiku primes up to 10000:
2 3 5 13 17 19 29 59 79 103 109 113 149 197 223 227 229 239 241 269
283 337 349 409 419 439 491 569 577 643 659 691 701 709 739 743 769
773 787 823 839 911 919 983 1051 1153 1213 1277 1373 1409 1423 1427
1471 1487 1549 1571 1609 1637 1663 1667 1699 1723 1801 1823 1873 1879
1949 2039 2087 2089 2129 2221 2243 2267 2273 2293 2339 2423 2477 2521
2539 2549 2647 2683 2719 2741 2753 2767 2789 2843 2917 2939 2953 2971
2999 3001 3011 3079 3109 3137 3359 3361 3389 3413 3469 3547 3571 3739
3769 3779 3793 3929 3943 3967 4049 4129 4157 4201 4217 4229 4231 4243
4273 4363 4517 4583 4621 4637 4639 4663 4861 4909 5051 5099 5153 5281
5417 5449 5477 5531 5653 5659 5669 5779 5791 5881 5903 5987 6043 6089
6197 6203 6221 6299 6301 6359 6473 6521 6569 6637 6659 6679 6781 6793
6827 6833 6949 6959 7039 7043 7127 7283 7507 7547 7559 7589 7639 7669
7673 7691 7723 7789 7873 7877 8009 8219 8243 8387 8419 8539 8581 8597
8609 8623 8753 8819 8837 8941 9173 9241 9257 9311 9319 9323 9349 9403
9463 9677 9739 9767 9857 9929 9931

Enjoy,
--Joshua Zucker






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