What is the 149th prime number?
The 149th prime number is 859. The next prime is 863 (a gap of 4) and the one before is 857.
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 149th one is 859.
- 2
859 is prime because no prime up to ā859 ā 29.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 149th prime is close to 149 Ć ln(149) ā 746, and here it is 859.
- 4
859 is a twin prime: 857 and 859 are both prime.
Primes around the 149th
| Position | Prime | Gap from the previous |
|---|---|---|
| 146 | 839 | 10 |
| 147 | 853 | 14 |
| 148 | 857 | 4 |
| 149 | 859 | 2 |
| 150 | 863 | 4 |
| 151 | 877 | 14 |
| 152 | 881 | 4 |
Questions
What is the 149th prime number?
859.
Which prime number is 859?
859 is the 149th prime number.
What is the sum of the first 149 primes?
58,406.