[seqfan] ambiquity of name "Isolated prime"

[юрий герасимов]

Dear SegFans,
If 
1)  single (non-twin or isolated) primes A001710,
2)  isolated primes A166251 (k = 2),  
then 
3) primes A186426 (k = 3) are isolated primes ? 
4) the only prime p such that k*a < p < k*b for some k > 1 :   5, 7, 23, 37, 47, 53, 79, 83, 89, 113, 127, 163, 167, 211, 223, 257, 277, 293, 307, 317, 331, 337, 359, 383, 389, 397, 409, 449, 457, 467, 479, 509, 541, 557, 563, 577, 593, 631, 673, 683, 691, 701, 709, 719, 751, 761, 769, 797, 839, 863, 877, 887, 907, 911, 919, 929, 937, 977, 991, 1087, 1129, 1181, 1201, 1213, 1237, 1249, 1259, 1283, 1297, 1307, 1327, 1361, 1381, 1399, 1409, 1459, 1471, 1499, 1511... (I can't find the sequence in the OEIS) are isolated primes ? 
Under what name and in what form (4 or largest k > 1 such that ...) to offer for publication in the OEIS ?
Tranks is advance, 
JSG