What is the 1768th prime number?
The 1768th prime number is 15137. The next prime is 15139 (a gap of 2) and the one before is 15131.
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 1768th one is 15137.
- 2
15137 is prime because no prime up to ā15137 ā 123.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1768th prime is close to 1768 Ć ln(1768) ā 13220, and here it is 15137.
- 4
15137 is a twin prime: 15137 and 15139 are both prime.
Primes around the 1768th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1765 | 15107 | 6 |
| 1766 | 15121 | 14 |
| 1767 | 15131 | 10 |
| 1768 | 15137 | 6 |
| 1769 | 15139 | 2 |
| 1770 | 15149 | 10 |
| 1771 | 15161 | 12 |
Questions
What is the 1768th prime number?
15137.
Which prime number is 15137?
15137 is the 1768th prime number.
What is the sum of the first 1768 primes?
12,507,065.