What is the 7314th prime number?
The 7314th prime number is 74149. The next prime is 74159 (a gap of 10) and the one before is 74143.
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 7314th one is 74149.
- 2
74149 is prime because no prime up to ā74149 ā 272.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7314th prime is close to 7314 Ć ln(7314) ā 65077, and here it is 74149.
- 4
74149 has no twin: neither 74147 nor 74151 is prime.
Primes around the 7314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7311 | 74101 | 2 |
| 7312 | 74131 | 30 |
| 7313 | 74143 | 12 |
| 7314 | 74149 | 6 |
| 7315 | 74159 | 10 |
| 7316 | 74161 | 2 |
| 7317 | 74167 | 6 |
Questions
What is the 7314th prime number?
74149.
Which prime number is 74149?
74149 is the 7314th prime number.
What is the sum of the first 7314 primes?
256,183,977.