What is the 7306th prime number?
The 7306th prime number is 74051. The next prime is 74071 (a gap of 20) and the one before is 74047.
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 7306th one is 74051.
- 2
74051 is prime because no prime up to ā74051 ā 272.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7306th prime is close to 7306 Ć ln(7306) ā 64997, and here it is 74051.
- 4
74051 has no twin: neither 74049 nor 74053 is prime.
Primes around the 7306th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7303 | 74021 | 4 |
| 7304 | 74027 | 6 |
| 7305 | 74047 | 20 |
| 7306 | 74051 | 4 |
| 7307 | 74071 | 20 |
| 7308 | 74077 | 6 |
| 7309 | 74093 | 16 |
Questions
What is the 7306th prime number?
74051.
Which prime number is 74051?
74051 is the 7306th prime number.
What is the sum of the first 7306 primes?
255,591,113.