27544 is a member of OEIS A283392: integers m of form m = 3*p + 5*q = 5*r + 7*s where {p,q} and {r,s} are pairs of consecutive primes, here (3433, 3449) & (2293, 2297). The sequence can be generated as follows:
INPUT
number=27544
print("Prime pairs are:")
L=[]
for p in prime_range(40000):
q=next_prime(p)
L.append(3*p+5*q)
if number==3*p+5*q:
print((p,q))
M=[]
for r in prime_range(40000):
s=next_prime(r)
if (5*r+7*s) in L:
M.append(5*r+7*s)
if number==5*r+7*s:
print((r,s))
print(sorted(Set(M)))
OUTPUT
Prime pairs are:
(3433, 3449)
(2293, 2297)
[50, 146, 866, 2162, 4178, 8362, 14372, 17138, 19094, 22504, 25346, 26764, 27544, 35074, 42634, 45218, 54184, 59554, 63484, 69812, 70562, 90904, 107252, 111004, 121106, 121682, 125138, 126764, 127454, 131596, 132464, 136226, 141986, 143282, 151346, 163276, 167186, 168058, 178946, 179392, 183136, 184322, 190658, 191174, 203762, 206498, 206662, 213286, 216844, 228962, 231778, 243188, 243746, 244696, 247846, 248978, 251536, 254098, 257434, 284258, 290924, 300386, 301114]
27544 is a Harshad, abundant, pseudoperfect & Zumkeller number
27544 can be rendered as a digit equation as follows:
-2 + 7 = 5 + 4 - 4