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Smallest emirp corresponding to the prime of A178581.
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10321, 11731, 12841, 10781, 14081, 13591, 16481, 17491, 11003, 10613, 11903, 12113, 10333, 10253, 13523, 14713, 10853, 13043, 14633, 11083, 12373, 15643, 11783, 10993, 18133, 12893, 14593, 17863, 18773, 32563, 31873, 31193, 31393
EXAMPLE
a(14) = 10253 belongs to the emirp pair (10253, 35201) whose average is the prime 22727 = A178581(14) which is also the arithmetic mean of the other emirp pair (11243, 34211).
Primes that are the average of the members of more than one emirp pair.
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14741, 22727, 23327, 24547, 25447, 27067, 28277, 42929, 63541, 65761, 85453, 1217171, 1221221, 1227271, 1243421, 1245421, 1246471, 1250521, 1253521, 1257521, 1261571, 1271671, 1283771, 1327231, 1335331, 1338331, 1339381
EXAMPLE
25477 is a prime equidistant between the members of each of the emirp pairs (10993, 39901), (13963, 36931), (17923, 32971), (18913, 31981).
Primes that are the average of the members of exactly 2 emirp pairs.
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14741, 22727, 23327, 28277, 63541, 65761, 85453, 1217171, 1221221, 1227271, 1243421, 1245421, 1253521, 1261571, 1271671, 1283771, 1327231, 1338331, 1347481, 1359581, 1363631, 1371731, 1415191, 1489841, 1513151, 1514101
EXAMPLE
23327 is the prime arithmetic mean of emirp pair (10853, 35801) as well as of emirp pair (15803, 30851), and no other.
Smallest prime that is the average of the members of exactly n emirp pairs.
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11311, 14741, 24547, 25447, 1427291, 2278277, 1551551, 2403487, 2477297, 2402537, 2512597, 123085271, 2509597, 124333421, 123974371, 133504831, 132954781, 135166981, 136545131, 134525431, 135955081, 135004981, 145475041
EXAMPLE
a(3) = 24547 is the first prime arithmetic mean of 3 emirp pairs, viz., (11083, 38011), (12073, 37021), (18013, 31081), followed by prime 27067, equidistant between members of each of the 3 emirp pairs (14593, 39541), (16573, 37561), (19543, 34591), and continues on with prime 42929, the average of exactly 3 other emirp pairs (10457, 75401), (11447, 74411), (12437, 73421), ...
Palindromic primes that are the average of the members of emirp pairs.
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11311, 12721, 13831, 14741, 16061, 16561, 17471, 18481, 34543, 34843, 35153, 35353, 35753, 36563, 71317, 73037, 73237, 73637, 77377, 77477, 78787, 94049, 94349, 94949, 96269, 96469, 1043401, 1123211, 1145411, 1150511, 1160611
COMMENTS
For the lesser member of the corresponding smallest emirp pair, see A178584.
Smallest emirp corresponding to the prime of A178583.
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10321, 11731, 12841, 10781, 14081, 13591, 16481, 17491, 32563, 31873, 31193, 31393, 32783, 34583, 70327, 72047, 71257, 70667, 76387, 76487, 77797, 90089, 92369, 90989, 95279, 95479, 1023601, 1013321, 1055321, 1130711, 1040821
EXAMPLE
a(4)= 10781 belongs to the emirp pair (10781, 18701) whose average is the palindromic prime 14741 = A178581(4) which is also the arithmetic mean of the other emirp pair (13751, 15731).
Nonpalindromic primes that are the average of the members of emirp pairs.
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20507, 21107, 21407, 21617, 21817, 22727, 23027, 23227, 23327, 23537, 24137, 24547, 24847, 25147, 25247, 25447, 25657, 26357, 27067, 27367, 28277, 42829, 42929, 44549, 45659, 47269, 60811, 62731, 63131, 63331, 63541, 63841, 64951
COMMENTS
For the lesser member of the corresponding smallest emirp pair, see A178586.
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