What is the 926th prime number?
The 926th prime number is 7243. The next prime is 7247 (a gap of 4) and the one before is 7237.
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 926th one is 7243.
- 2
7243 is prime because no prime up to ā7243 ā 85.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 926th prime is close to 926 Ć ln(926) ā 6325, and here it is 7243.
- 4
7243 has no twin: neither 7241 nor 7245 is prime.
Primes around the 926th
| Position | Prime | Gap from the previous |
|---|---|---|
| 923 | 7219 | 6 |
| 924 | 7229 | 10 |
| 925 | 7237 | 8 |
| 926 | 7243 | 6 |
| 927 | 7247 | 4 |
| 928 | 7253 | 6 |
| 929 | 7283 | 30 |
Questions
What is the 926th prime number?
7243.
Which prime number is 7243?
7243 is the 926th prime number.
What is the sum of the first 926 primes?
3,120,833.