What is the 1235th prime number?
The 1235th prime number is 10067. The next prime is 10069 (a gap of 2) and the one before is 10061.
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 1235th one is 10067.
- 2
10067 is prime because no prime up to ā10067 ā 100.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1235th prime is close to 1235 Ć ln(1235) ā 8792, and here it is 10067.
- 4
10067 is a twin prime: 10067 and 10069 are both prime.
Primes around the 1235th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1232 | 10037 | 28 |
| 1233 | 10039 | 2 |
| 1234 | 10061 | 22 |
| 1235 | 10067 | 6 |
| 1236 | 10069 | 2 |
| 1237 | 10079 | 10 |
| 1238 | 10091 | 12 |
Questions
What is the 1235th prime number?
10067.
Which prime number is 10067?
10067 is the 1235th prime number.
What is the sum of the first 1235 primes?
5,796,616.