What is the 144th prime number?
The 144th prime number is 827. The next prime is 829 (a gap of 2) and the one before is 823.
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 144th one is 827.
- 2
827 is prime because no prime up to ā827 ā 28.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 144th prime is close to 144 Ć ln(144) ā 716, and here it is 827.
- 4
827 is a twin prime: 827 and 829 are both prime.
Primes around the 144th
| Position | Prime | Gap from the previous |
|---|---|---|
| 141 | 811 | 2 |
| 142 | 821 | 10 |
| 143 | 823 | 2 |
| 144 | 827 | 4 |
| 145 | 829 | 2 |
| 146 | 839 | 10 |
| 147 | 853 | 14 |
Questions
What is the 144th prime number?
827.
Which prime number is 827?
827 is the 144th prime number.
What is the sum of the first 144 primes?
54,169.