What is the 1781st prime number?
The 1781st prime number is 15263. The next prime is 15269 (a gap of 6) and the one before is 15259.
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 1781st one is 15263.
- 2
15263 is prime because no prime up to ā15263 ā 123.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1781st prime is close to 1781 Ć ln(1781) ā 13331, and here it is 15263.
- 4
15263 has no twin: neither 15261 nor 15265 is prime.
Primes around the 1781st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1778 | 15233 | 6 |
| 1779 | 15241 | 8 |
| 1780 | 15259 | 18 |
| 1781 | 15263 | 4 |
| 1782 | 15269 | 6 |
| 1783 | 15271 | 2 |
| 1784 | 15277 | 6 |
Questions
What is the 1781st prime number?
15263.
Which prime number is 15263?
15263 is the 1781st prime number.
What is the sum of the first 1781 primes?
12,704,706.