What is the 1741st prime number?
The 1741st prime number is 14867. The next prime is 14869 (a gap of 2) and the one before is 14851.
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 1741st one is 14867.
- 2
14867 is prime because no prime up to ā14867 ā 121.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1741st prime is close to 1741 Ć ln(1741) ā 12992, and here it is 14867.
- 4
14867 is a twin prime: 14867 and 14869 are both prime.
Primes around the 1741st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1738 | 14831 | 4 |
| 1739 | 14843 | 12 |
| 1740 | 14851 | 8 |
| 1741 | 14867 | 16 |
| 1742 | 14869 | 2 |
| 1743 | 14879 | 10 |
| 1744 | 14887 | 8 |
Questions
What is the 1741st prime number?
14867.
Which prime number is 14867?
14867 is the 1741st prime number.
What is the sum of the first 1741 primes?
12,101,948.