What is the 1655th prime number?
The 1655th prime number is 14029. The next prime is 14033 (a gap of 4) and the one before is 14011.
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 1655th one is 14029.
- 2
14029 is prime because no prime up to ā14029 ā 118.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1655th prime is close to 1655 Ć ln(1655) ā 12266, and here it is 14029.
- 4
14029 has no twin: neither 14027 nor 14031 is prime.
Primes around the 1655th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1652 | 13999 | 2 |
| 1653 | 14009 | 10 |
| 1654 | 14011 | 2 |
| 1655 | 14029 | 18 |
| 1656 | 14033 | 4 |
| 1657 | 14051 | 18 |
| 1658 | 14057 | 6 |
Questions
What is the 1655th prime number?
14029.
Which prime number is 14029?
14029 is the 1655th prime number.
What is the sum of the first 1655 primes?
10,856,640.