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Run Example
(%i1)product(sum(f(n,(10*k+1),10*n-(2*k+1))*(is(equal(primep((2*k+1))*primep(2*n-(2*k+1)),true^2))-unknown)/(true-unknown),k, 18000, 19000),n,10^30,10^30);
(%o1) f(1000000000000000000000000000000, 189751, 
9999999999999999999999999962049) + f(1000000000000000000000000000000, 185011, 
9999999999999999999999999962997)
(%i2) 
Run Example
makelist(sum((f(n,k,n-k)*(is(equal(primep(k)*primep(n-k),true^2))-unknown)/(true-unknown)),k,0,n),n,2,10);
(%o1) [0, 0, f(4, 2, 2), f(5, 3, 2) + f(5, 2, 3), f(6, 3, 3), 
f(7, 5, 2) + f(7, 2, 5), f(8, 5, 3) + f(8, 3, 5), f(9, 7, 2) + f(9, 2, 7), 
f(10, 7, 3) + f(10, 5, 5) + f(10, 3, 7)]
(%i2) 
Run Example
makelist(sum(  f(n,k,2*n-k)*(is(equal(   primep(k)*primep(2*n-k),true^2))-unknown   )/(true-unknown),k,200,777),n,120000000000000000000000,120000000000000000000010);
(%o1) [f(120000000000000000000000, 727, 239999999999999999999273)
 + f(120000000000000000000000, 601, 239999999999999999999399)
 + f(120000000000000000000000, 521, 239999999999999999999479)
 + f(120000000000000000000000, 373, 239999999999999999999627)
 + f(120000000000000000000000, 347, 239999999999999999999653)
 + f(120000000000000000000000, 337, 239999999999999999999663), 
f(120000000000000000000001, 523, 239999999999999999999479)
 + f(120000000000000000000001, 349, 239999999999999999999653), 
f(120000000000000000000002, 263, 239999999999999999999741), 
f(120000000000000000000003, 733, 239999999999999999999273)
 + f(120000000000000000000003, 607, 239999999999999999999399)
 + f(120000000000000000000003, 419, 239999999999999999999587)
 + f(120000000000000000000003, 379, 239999999999999999999627)
 + f(120000000000000000000003, 353, 239999999999999999999653), 
f(120000000000000000000004, 631, 239999999999999999999377)
 + f(120000000000000000000004, 421, 239999999999999999999587), 
f(120000000000000000000005, 383, 239999999999999999999627)
 + f(120000000000000000000005, 347, 239999999999999999999663)
 + f(120000000000000000000005, 269, 239999999999999999999741), 
f(120000000000000000000006, 739, 239999999999999999999273)
 + f(120000000000000000000006, 613, 239999999999999999999399)
 + f(120000000000000000000006, 359, 239999999999999999999653)
 + f(120000000000000000000006, 349, 239999999999999999999663)
 + f(120000000000000000000006, 271, 239999999999999999999741), 0, 
f(120000000000000000000008, 743, 239999999999999999999273)
 + f(120000000000000000000008, 617, 239999999999999999999399)
 + f(120000000000000000000008, 389, 239999999999999999999627)
 + f(120000000000000000000008, 353, 239999999999999999999663), 
f(120000000000000000000009, 641, 239999999999999999999377)
 + f(120000000000000000000009, 619, 239999999999999999999399)
 + f(120000000000000000000009, 431, 239999999999999999999587)
 + f(120000000000000000000009, 277, 239999999999999999999741), 
f(120000000000000000000010, 643, 239999999999999999999377)
 + f(120000000000000000000010, 541, 239999999999999999999479)
 + f(120000000000000000000010, 433, 239999999999999999999587)
 + f(120000000000000000000010, 367, 239999999999999999999653)]
(%i2) 

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