What is the 4513th prime number?
The 4513th prime number is 43223. The next prime is 43237 (a gap of 14) and the one before is 43207.
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 4513th one is 43223.
- 2
43223 is prime because no prime up to ā43223 ā 207.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4513th prime is close to 4513 Ć ln(4513) ā 37976, and here it is 43223.
- 4
43223 has no twin: neither 43221 nor 43225 is prime.
Primes around the 4513th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4510 | 43189 | 12 |
| 4511 | 43201 | 12 |
| 4512 | 43207 | 6 |
| 4513 | 43223 | 16 |
| 4514 | 43237 | 14 |
| 4515 | 43261 | 24 |
| 4516 | 43271 | 10 |
Questions
What is the 4513th prime number?
43223.
Which prime number is 43223?
43223 is the 4513th prime number.
What is the sum of the first 4513 primes?
92,081,312.