A244733 Semiprimes sp such that sp plus its digit sum is a perfect square.

38, 86, 161, 614, 662, 998, 1145, 1355, 1829, 2189, 2483, 4607, 5027, 5315, 6377, 7199, 8258, 11435, 13214, 15611, 17933, 19574, 20153, 21305, 21878, 24014, 26867, 30599, 32738, 34199, 36077, 38387, 38777, 40778, 42422, 46211, 51509, 52874, 56618, 58541, 59987

Offset: 1

Author

K. D. Bajpai, Jul 12 2014

Keywords

• nonn
• base

Examples

			86 is in the sequence because 86 = 2* 43, which is semiprime. Also, 86 + (8 + 6) = 100 = 10^2.
614 is in the sequence because 614 = 2* 307, which is semiprime. Also, 614 + (6 + 1 + 4) = 625 = 25^2.
		

Links

• K. D. Bajpai, Table of n, a(n) for n = 1..1150

Crossrefs

Cf. A007953, A028839, A048519, A107288, A244863.

Programs

Mathematica

Select[Range[50000], PrimeOmega[#] == 2 && IntegerQ[Sqrt[# + Apply[Plus, IntegerDigits[#]]]] &]