What is the 7413th prime number?
The 7413th prime number is 75223. The next prime is 75227 (a gap of 4) and the one before is 75217.
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 7413th one is 75223.
- 2
75223 is prime because no prime up to ā75223 ā 274.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7413th prime is close to 7413 Ć ln(7413) ā 66057, and here it is 75223.
- 4
75223 has no twin: neither 75221 nor 75225 is prime.
Primes around the 7413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7410 | 75209 | 16 |
| 7411 | 75211 | 2 |
| 7412 | 75217 | 6 |
| 7413 | 75223 | 6 |
| 7414 | 75227 | 4 |
| 7415 | 75239 | 12 |
| 7416 | 75253 | 14 |
Questions
What is the 7413th prime number?
75223.
Which prime number is 75223?
75223 is the 7413th prime number.
What is the sum of the first 7413 primes?
263,576,534.