What is the 147th prime number?
The 147th prime number is 853. The next prime is 857 (a gap of 4) and the one before is 839.
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 147th one is 853.
- 2
853 is prime because no prime up to ā853 ā 29.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 147th prime is close to 147 Ć ln(147) ā 734, and here it is 853.
- 4
853 has no twin: neither 851 nor 855 is prime.
Primes around the 147th
| Position | Prime | Gap from the previous |
|---|---|---|
| 144 | 827 | 4 |
| 145 | 829 | 2 |
| 146 | 839 | 10 |
| 147 | 853 | 14 |
| 148 | 857 | 4 |
| 149 | 859 | 2 |
| 150 | 863 | 4 |
Questions
What is the 147th prime number?
853.
Which prime number is 853?
853 is the 147th prime number.
What is the sum of the first 147 primes?
56,690.