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emirps
A number is called emirp if it is prime and if its reverse is a different prime, thus excluding palindromic primes.

For example, the prime 31 is also an emirp, since 13 is prime as well.

The smallest 3 × 3 magic square whose entries are emirps is

172071873116493
167631747718191
184611622317747

The first emirps are 13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359, 389, 701, 709, 733, 739, 743, 751 more terms

Pictorial representation of remainders (mod 2, 3, ...,11) frequency. For a table of values and more details click here
remainders of emirps
Useful links Mathworld, Emirp
Wikipedia, Emirp
OEIS, sequence A006567
Emirps can also be... (you may click on names or numbers and on + to get more values)

a-pointer 13 701 1153 1409 1933 + 199971329 aban 13 17 31 37 71 + 199000981 alt.fact. 3301819 alternating 107 149 167 347 389 + 189898781 amenable 13 17 37 73 97 + 199999777 apocalyptic 157 937 983 1031 1103 + 19973 arithmetic 13 17 31 37 71 + 9999971 balanced p. 157 733 1103 1223 1511 + 199999661 bemirp 1061 1091 1601 1901 10061 + 199800091 c.decagonal 31 1201 1901 3251 3511 + 199364551 c.heptagonal 71 953 1471 1933 3697 + 198954211 c.pentagonal 31 1381 11731 14251 31081 + 196980631 c.square 13 113 761 1201 1301 + 198622381 c.triangular 31 199 9721 10459 10711 + 199878589 Carol 16127 1046527 16769023 Chen 13 17 31 37 71 + 99999827 congruent 13 31 37 71 79 + 9999943 constructible 17 Cunningham 17 31 37 1601 7057 + 199374401 Curzon 113 761 953 1229 1409 + 199999661 cyclic 13 17 31 37 71 + 9999971 d-powerful 739 3257 3527 13337 13933 + 9984827 de Polignac 149 337 701 907 1259 + 99999343 deficient 13 17 31 37 71 + 9999971 dig.balanced 37 149 709 3221 3347 + 199999777 economical 13 17 31 37 71 + 19999981 equidigital 13 17 31 37 71 + 19999981 esthetic 12323 32321 1210123 3210121 7656787 + 121232101 evil 17 71 113 149 311 + 199999931 fibodiv 149 199 1301 1499 3089 9161 Fibonacci 13 1597 Friedman 347 12107 12109 15661 15667 + 976553 good prime 17 37 71 97 149 + 199968443 happy 13 31 79 97 167 + 9999713 hex 37 1657 3169 3571 7057 + 199145269 Hogben 13 31 73 157 1723 + 199162657 Honaker 1091 1301 1913 1933 3067 + 199901021 hungry 17 iban 17 71 73 107 311 + 777421 iccanobiF 13 idoneal 13 37 inconsummate 761 941 971 983 1487 + 999931 junction 107 113 311 709 1009 + 99999259 katadrome 31 71 73 97 743 + 9875321 Kynea 79 Leyland 17 lonely 1272749 162821917 Lucas 199 3571 9349 3010349 lucky 13 31 37 73 79 + 9999739 m-pointer 1231 1321 11621 12113 3112111 + 163111111 metadrome 13 17 37 79 149 + 1235789 modest 13 79 199 311 709 + 199333333 Motzkin 15511 nialpdrome 31 71 73 97 311 + 99999643 oban 13 17 37 73 79 + 983 odious 13 31 37 73 79 + 199999061 Ormiston 1913 18379 19013 34613 37379 + 199994279 pancake 37 79 991 1597 1831 + 196664029 panconsummate 31 37 73 337 pernicious 13 17 31 37 73 + 9999971 Perrin 17 Pierpont 13 17 37 73 97 + 120932353 plaindrome 13 17 37 79 113 + 177777799 prime 13 17 31 37 71 + 199999931 primeval 13 37 107 113 1237 + 100379 Proth 13 17 97 113 769 + 199229441 repfigit 1084051 repunit 13 31 73 157 1723 + 199162657 self 31 97 389 1021 1109 + 199999661 self-describing 10233221 10322321 12193133 15311633 16153133 + 33322727 Sophie Germain 113 179 359 743 761 + 199999661 star 13 37 73 337 937 + 199238437 strobogrammatic 116911 119611 169691 196961 1160911 + 199609661 strong prime 17 37 71 79 97 + 99999547 super-d 31 107 337 739 769 + 9999931 tribonacci 13 149 trimorphic 751 1249 truncatable prime 13 17 31 37 71 + 198739397 twin 13 17 31 71 73 + 199999309 uban 13 17 31 37 71 + 99000037 Ulam 13 97 739 751 983 + 9999337 upside-down 37 73 1559 3467 3917 + 99864211 weak prime 13 31 73 113 167 + 99999827 weakly prime 1282529 3326489 10564877 14151757 33051769 + 198873523 Wieferich 3511 Woodall 17 zygodrome 11777 77711 1133333 1144333 3311999 + 119988899