A343714
Palindromic primes of the form p//q//reverse(p), where p is a prime (not necessarily palindromic) and q, of course, is a palindromic prime.
Original entry on oeis.org
353, 373, 727, 757, 11311, 13331, 19391, 31013, 31513, 33533, 37273, 37573, 39293, 71317, 71917, 73237, 77977, 79397, 97379, 97579, 1035301, 1092901, 1093901, 1175711, 1178711, 1273721, 1317131, 1335331, 1338331, 1513151, 1572751, 1633361, 1737371, 1793971
Offset: 1
353 is a term because it is a palindromic prime (A002385) and is the concatenation of 3 (a prime), 5 (a palindromic prime), and 3 (the reverse of 3).
31513 is a term in two ways: as the concatenation 3//151//3 and as the concatenation 31//5//13.
7392937 is a term in three ways: 7//39293//7, 73//929//37, and 739//2//937.
A343715
Palindromic primes of the form p//q//reverse(p), where p, q, and reverse(p) are primes.
Original entry on oeis.org
353, 373, 727, 757, 11311, 13331, 31013, 31513, 33533, 37273, 37573, 39293, 71317, 71917, 73237, 77977, 79397, 97379, 97579, 1175711, 1178711, 1317131, 1335331, 1338331, 1513151, 1572751, 1737371, 1793971, 1917191, 1993991, 1995991, 3103013, 3106013, 3127213
Offset: 1
353 is a term because it is a palindromic prime (A002385) and is the concatenation of 3 (a prime), 5 (a palindromic prime), and 3 (the reverse of 3, and also a prime).
31513 is a term in two ways: as the concatenation 3//151//3 and as the concatenation 31//5//13.
7392937 is a term in three ways: 7//39293//7, 73//929//37, and 739//2//937.
A178496
The smallest palindromic prime which contains the decimal expansion of 11^n in its decimal representation.
Original entry on oeis.org
11, 11, 1212121, 133111331, 361464163, 31501610513, 916517717715619, 1017178491948717101, 111888534121435888111, 1967497532357947691, 11064247395259374246011, 142853116706111607611358241
Offset: 0
Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 28 2010
a(0) = 11^0//1 = 1//1 = palprime(5).
a(1) = 11^1 = 11.
a(2) = 1212//11^2 = 1212//121 = palprime(151).
a(3) = 13311//11^3 = 13311//1331 = palprime(1270).
a(4) = 36//11^4//63 = 36//14641//63 = palprime(3035).
a(5) = 3150//11^5//3 = 3150//161051//3 = palprime(18465).
a(6) = 9165177//11^6//9 = 9165177//1771561//9.
a(7) = 101717849//11^7//01 = 101717849//19487171//01.
a(8) = 1118885341//11^8//11 = 1118885341//214358881//11.
a(9) = 196749753//11^9 = 196749753//2357947691.
a(10) = 11064247395//11^10//1 = 11064247395//25937424601//1.
a(11) = 14//11^11//1607611358241 = 14//285311670611//1607611358241.
a(12) = 111276738248//11^12//11 = 111276738248//3138428376721//11.
Showing 1-3 of 3 results.
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