What is the 1234th prime number?
The 1234th prime number is 10061. The next prime is 10067 (a gap of 6) and the one before is 10039.
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 1234th one is 10061.
- 2
10061 is prime because no prime up to ā10061 ā 100.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1234th prime is close to 1234 Ć ln(1234) ā 8784, and here it is 10061.
- 4
10061 has no twin: neither 10059 nor 10063 is prime.
Primes around the 1234th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1231 | 10009 | 2 |
| 1232 | 10037 | 28 |
| 1233 | 10039 | 2 |
| 1234 | 10061 | 22 |
| 1235 | 10067 | 6 |
| 1236 | 10069 | 2 |
| 1237 | 10079 | 10 |
Questions
What is the 1234th prime number?
10061.
Which prime number is 10061?
10061 is the 1234th prime number.
What is the sum of the first 1234 primes?
5,786,549.