Do all terms $n$ of OEIS sequence A228059 have a $p$ with exponent $1$?
OEIS sequence A228059: Odd numbers of the form $p^{1+4k}{r^2}$, where $p$ is prime of the form $1+4m$, $r > 1$, and $\gcd(p,r) = 1$ that are closer to being perfect than previous terms.
Here are the first couple of terms: $$45 = 5\cdot{3^2}$$ $$405 = 5\cdot{3^4}$$ $$2205 = 5\cdot(3\cdot7)^2$$ $$26325 = 13\cdot({3^2}\cdot5)^2$$ $$236925 = 13\cdot({3^3}\cdot5)^2$$ $$1380825 = 17\cdot(3\cdot5\cdot19)^2$$ $$1660725 = 61\cdot(3\cdot5\cdot11)^2$$ $$35698725 = 61\cdot({3^2}\cdot5\cdot17)^2$$ $$3138290325 = 53\cdot({3^4}\cdot5\cdot19)^2$$
UPDATE - July 05 2017 (7:30 PM - Manila time): I am currently running the Mathematica code referenced in the OEIS sequence to compute more terms past $3138290325$.
UPDATE - July 06 2017 (1:00 AM - Manila time): The Mathematica code is still running and is currently at $35698725$. It has not displayed $3138290325$ yet.