What is the 7313th prime number?
The 7313th prime number is 74143. The next prime is 74149 (a gap of 6) and the one before is 74131.
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 7313th one is 74143.
- 2
74143 is prime because no prime up to ā74143 ā 272.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7313th prime is close to 7313 Ć ln(7313) ā 65067, and here it is 74143.
- 4
74143 has no twin: neither 74141 nor 74145 is prime.
Primes around the 7313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7310 | 74099 | 6 |
| 7311 | 74101 | 2 |
| 7312 | 74131 | 30 |
| 7313 | 74143 | 12 |
| 7314 | 74149 | 6 |
| 7315 | 74159 | 10 |
| 7316 | 74161 | 2 |
Questions
What is the 7313th prime number?
74143.
Which prime number is 74143?
74143 is the 7313th prime number.
What is the sum of the first 7313 primes?
256,109,828.