What is the 7320th prime number?
The 7320th prime number is 74197. The next prime is 74201 (a gap of 4) and the one before is 74189.
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 7320th one is 74197.
- 2
74197 is prime because no prime up to ā74197 ā 272.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7320th prime is close to 7320 Ć ln(7320) ā 65136, and here it is 74197.
- 4
74197 has no twin: neither 74195 nor 74199 is prime.
Primes around the 7320th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7317 | 74167 | 6 |
| 7318 | 74177 | 10 |
| 7319 | 74189 | 12 |
| 7320 | 74197 | 8 |
| 7321 | 74201 | 4 |
| 7322 | 74203 | 2 |
| 7323 | 74209 | 6 |
Questions
What is the 7320th prime number?
74197.
Which prime number is 74197?
74197 is the 7320th prime number.
What is the sum of the first 7320 primes?
256,629,027.