What is the 246th prime number?
The 246th prime number is 1559. The next prime is 1567 (a gap of 8) and the one before is 1553.
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 246th one is 1559.
- 2
1559 is prime because no prime up to ā1559 ā 39.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 246th prime is close to 246 Ć ln(246) ā 1354, and here it is 1559.
- 4
1559 has no twin: neither 1557 nor 1561 is prime.
Primes around the 246th
| Position | Prime | Gap from the previous |
|---|---|---|
| 243 | 1543 | 12 |
| 244 | 1549 | 6 |
| 245 | 1553 | 4 |
| 246 | 1559 | 6 |
| 247 | 1567 | 8 |
| 248 | 1571 | 4 |
| 249 | 1579 | 8 |
Questions
What is the 246th prime number?
1559.
Which prime number is 1559?
1559 is the 246th prime number.
What is the sum of the first 246 primes?
175,809.