A145022 Primes of the form 4k+1 for which s=2 is the least positive integer such that sp-(floor(sqrt(sp)))^2 is a full square

41, 61, 89, 113, 149, 157, 181, 193, 233, 269, 277, 313, 317, 337, 389, 421, 433, 557, 569, 613, 617, 709, 761, 773, 853, 881, 929, 937, 1013, 1109, 1117, 1129, 1201, 1213, 1301, 1409, 1429, 1553, 1637, 1741, 1753, 1861, 1873, 1901, 1997, 2113, 2137, 2153