What is the 5613th prime number?
The 5613th prime number is 55243. The next prime is 55249 (a gap of 6) and the one before is 55229.
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 5613th one is 55243.
- 2
55243 is prime because no prime up to ā55243 ā 235.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5613th prime is close to 5613 Ć ln(5613) ā 48456, and here it is 55243.
- 4
55243 has no twin: neither 55241 nor 55245 is prime.
Primes around the 5613th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5610 | 55217 | 4 |
| 5611 | 55219 | 2 |
| 5612 | 55229 | 10 |
| 5613 | 55243 | 14 |
| 5614 | 55249 | 6 |
| 5615 | 55259 | 10 |
| 5616 | 55291 | 32 |
Questions
What is the 5613th prime number?
55243.
Which prime number is 55243?
55243 is the 5613th prime number.
What is the sum of the first 5613 primes?
146,271,962.