What is the 236th prime number?
The 236th prime number is 1487. The next prime is 1489 (a gap of 2) and the one before is 1483.
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 236th one is 1487.
- 2
1487 is prime because no prime up to ā1487 ā 38.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 236th prime is close to 236 Ć ln(236) ā 1289, and here it is 1487.
- 4
1487 is a twin prime: 1487 and 1489 are both prime.
Primes around the 236th
| Position | Prime | Gap from the previous |
|---|---|---|
| 233 | 1471 | 12 |
| 234 | 1481 | 10 |
| 235 | 1483 | 2 |
| 236 | 1487 | 4 |
| 237 | 1489 | 2 |
| 238 | 1493 | 4 |
| 239 | 1499 | 6 |
Questions
What is the 236th prime number?
1487.
Which prime number is 1487?
1487 is the 236th prime number.
What is the sum of the first 236 primes?
160,559.