What is the 1034th prime number?
The 1034th prime number is 8237. The next prime is 8243 (a gap of 6) and the one before is 8233.
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 1034th one is 8237.
- 2
8237 is prime because no prime up to ā8237 ā 90.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1034th prime is close to 1034 Ć ln(1034) ā 7177, and here it is 8237.
- 4
8237 has no twin: neither 8235 nor 8239 is prime.
Primes around the 1034th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1031 | 8221 | 2 |
| 1032 | 8231 | 10 |
| 1033 | 8233 | 2 |
| 1034 | 8237 | 4 |
| 1035 | 8243 | 6 |
| 1036 | 8263 | 20 |
| 1037 | 8269 | 6 |
Questions
What is the 1034th prime number?
8237.
Which prime number is 8237?
8237 is the 1034th prime number.
What is the sum of the first 1034 primes?
3,957,991.