What is the 5615th prime number?
The 5615th prime number is 55259. The next prime is 55291 (a gap of 32) and the one before is 55249.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5615th one is 55259.
- 2
55259 is prime because no prime up to ā55259 ā 235.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5615th prime is close to 5615 Ć ln(5615) ā 48475, and here it is 55259.
- 4
55259 has no twin: neither 55257 nor 55261 is prime.
Primes around the 5615th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5612 | 55229 | 10 |
| 5613 | 55243 | 14 |
| 5614 | 55249 | 6 |
| 5615 | 55259 | 10 |
| 5616 | 55291 | 32 |
| 5617 | 55313 | 22 |
| 5618 | 55331 | 18 |
Questions
What is the 5615th prime number?
55259.
Which prime number is 55259?
55259 is the 5615th prime number.
What is the sum of the first 5615 primes?
146,382,470.