What is the 7213th prime number?
The 7213th prime number is 72949. The next prime is 72953 (a gap of 4) and the one before is 72937.
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 7213th one is 72949.
- 2
72949 is prime because no prime up to ā72949 ā 270.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7213th prime is close to 7213 Ć ln(7213) ā 64078, and here it is 72949.
- 4
72949 has no twin: neither 72947 nor 72951 is prime.
Primes around the 7213th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7210 | 72923 | 12 |
| 7211 | 72931 | 8 |
| 7212 | 72937 | 6 |
| 7213 | 72949 | 12 |
| 7214 | 72953 | 4 |
| 7215 | 72959 | 6 |
| 7216 | 72973 | 14 |
Questions
What is the 7213th prime number?
72949.
Which prime number is 72949?
72949 is the 7213th prime number.
What is the sum of the first 7213 primes?
248,754,976.