What is the 5614th prime number?
The 5614th prime number is 55249. The next prime is 55259 (a gap of 10) and the one before is 55243.
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 5614th one is 55249.
- 2
55249 is prime because no prime up to ā55249 ā 235.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5614th prime is close to 5614 Ć ln(5614) ā 48466, and here it is 55249.
- 4
55249 has no twin: neither 55247 nor 55251 is prime.
Primes around the 5614th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5611 | 55219 | 2 |
| 5612 | 55229 | 10 |
| 5613 | 55243 | 14 |
| 5614 | 55249 | 6 |
| 5615 | 55259 | 10 |
| 5616 | 55291 | 32 |
| 5617 | 55313 | 22 |
Questions
What is the 5614th prime number?
55249.
Which prime number is 55249?
55249 is the 5614th prime number.
What is the sum of the first 5614 primes?
146,327,211.