What is the 1772nd prime number?
The 1772nd prime number is 15173. The next prime is 15187 (a gap of 14) and the one before is 15161.
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 1772nd one is 15173.
- 2
15173 is prime because no prime up to ā15173 ā 123.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1772nd prime is close to 1772 Ć ln(1772) ā 13254, and here it is 15173.
- 4
15173 has no twin: neither 15171 nor 15175 is prime.
Primes around the 1772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1769 | 15139 | 2 |
| 1770 | 15149 | 10 |
| 1771 | 15161 | 12 |
| 1772 | 15173 | 12 |
| 1773 | 15187 | 14 |
| 1774 | 15193 | 6 |
| 1775 | 15199 | 6 |
Questions
What is the 1772nd prime number?
15173.
Which prime number is 15173?
15173 is the 1772nd prime number.
What is the sum of the first 1772 primes?
12,567,687.