What is the 1236th prime number?
The 1236th prime number is 10069. The next prime is 10079 (a gap of 10) and the one before is 10067.
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 1236th one is 10069.
- 2
10069 is prime because no prime up to ā10069 ā 100.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1236th prime is close to 1236 Ć ln(1236) ā 8800, and here it is 10069.
- 4
10069 is a twin prime: 10067 and 10069 are both prime.
Primes around the 1236th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1233 | 10039 | 2 |
| 1234 | 10061 | 22 |
| 1235 | 10067 | 6 |
| 1236 | 10069 | 2 |
| 1237 | 10079 | 10 |
| 1238 | 10091 | 12 |
| 1239 | 10093 | 2 |
Questions
What is the 1236th prime number?
10069.
Which prime number is 10069?
10069 is the 1236th prime number.
What is the sum of the first 1236 primes?
5,806,685.