What is the 1767th prime number?
The 1767th prime number is 15131. The next prime is 15137 (a gap of 6) and the one before is 15121.
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 1767th one is 15131.
- 2
15131 is prime because no prime up to ā15131 ā 123.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1767th prime is close to 1767 Ć ln(1767) ā 13212, and here it is 15131.
- 4
15131 has no twin: neither 15129 nor 15133 is prime.
Primes around the 1767th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1764 | 15101 | 10 |
| 1765 | 15107 | 6 |
| 1766 | 15121 | 14 |
| 1767 | 15131 | 10 |
| 1768 | 15137 | 6 |
| 1769 | 15139 | 2 |
| 1770 | 15149 | 10 |
Questions
What is the 1767th prime number?
15131.
Which prime number is 15131?
15131 is the 1767th prime number.
What is the sum of the first 1767 primes?
12,491,928.