What is the 1761st prime number?
The 1761st prime number is 15077. The next prime is 15083 (a gap of 6) and the one before is 15073.
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 1761st one is 15077.
- 2
15077 is prime because no prime up to ā15077 ā 122.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1761st prime is close to 1761 Ć ln(1761) ā 13161, and here it is 15077.
- 4
15077 has no twin: neither 15075 nor 15079 is prime.
Primes around the 1761st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1758 | 15053 | 22 |
| 1759 | 15061 | 8 |
| 1760 | 15073 | 12 |
| 1761 | 15077 | 4 |
| 1762 | 15083 | 6 |
| 1763 | 15091 | 8 |
| 1764 | 15101 | 10 |
Questions
What is the 1761st prime number?
15077.
Which prime number is 15077?
15077 is the 1761st prime number.
What is the sum of the first 1761 primes?
12,401,294.