What is the 925th prime number?
The 925th prime number is 7237. The next prime is 7243 (a gap of 6) and the one before is 7229.
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 925th one is 7237.
- 2
7237 is prime because no prime up to ā7237 ā 85.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 925th prime is close to 925 Ć ln(925) ā 6318, and here it is 7237.
- 4
7237 has no twin: neither 7235 nor 7239 is prime.
Primes around the 925th
| Position | Prime | Gap from the previous |
|---|---|---|
| 922 | 7213 | 2 |
| 923 | 7219 | 6 |
| 924 | 7229 | 10 |
| 925 | 7237 | 8 |
| 926 | 7243 | 6 |
| 927 | 7247 | 4 |
| 928 | 7253 | 6 |
Questions
What is the 925th prime number?
7237.
Which prime number is 7237?
7237 is the 925th prime number.
What is the sum of the first 925 primes?
3,113,590.