What is the 5616th prime number?
The 5616th prime number is 55291. The next prime is 55313 (a gap of 22) and the one before is 55259.
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 5616th one is 55291.
- 2
55291 is prime because no prime up to ā55291 ā 235.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5616th prime is close to 5616 Ć ln(5616) ā 48485, and here it is 55291.
- 4
55291 has no twin: neither 55289 nor 55293 is prime.
Primes around the 5616th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5613 | 55243 | 14 |
| 5614 | 55249 | 6 |
| 5615 | 55259 | 10 |
| 5616 | 55291 | 32 |
| 5617 | 55313 | 22 |
| 5618 | 55331 | 18 |
| 5619 | 55333 | 2 |
Questions
What is the 5616th prime number?
55291.
Which prime number is 55291?
55291 is the 5616th prime number.
What is the sum of the first 5616 primes?
146,437,761.