What is the 1765th prime number?
The 1765th prime number is 15107. The next prime is 15121 (a gap of 14) and the one before is 15101.
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 1765th one is 15107.
- 2
15107 is prime because no prime up to ā15107 ā 122.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1765th prime is close to 1765 Ć ln(1765) ā 13195, and here it is 15107.
- 4
15107 has no twin: neither 15105 nor 15109 is prime.
Primes around the 1765th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1762 | 15083 | 6 |
| 1763 | 15091 | 8 |
| 1764 | 15101 | 10 |
| 1765 | 15107 | 6 |
| 1766 | 15121 | 14 |
| 1767 | 15131 | 10 |
| 1768 | 15137 | 6 |
Questions
What is the 1765th prime number?
15107.
Which prime number is 15107?
15107 is the 1765th prime number.
What is the sum of the first 1765 primes?
12,461,676.