(Regarding the numbers in Surat Alfateha: 7 ayats, 29 words, 139 letters)
Theorem:
7n + 29n + 139n is always a composite number for every n. Proof. Note that 29 + 139 = 168 = 7 × 24, hence for odd number n, 29n + 139n has a factor 29 + 139. Thus the result holds. So we assume n = 2k.Let
φ(k) = 72k + 292k + 1392k = 49k + 841k + 19321k .
Note that
49 ≡ 1(mod 3),
841 ≡ 1(mod 3),
19321 ≡ 1(mod 3),
then
49k ≡ 1(mod 3),
841k ≡ 1(mod 3),
19321k ≡ 1(mod 3).
Therefore, 49k + 841k + 19321k ≡ 3(mod 3), that is 3|49k + 841k + 19321k .