What is the 151st prime number?
The 151st prime number is 877. The next prime is 881 (a gap of 4) and the one before is 863.
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 151st one is 877.
- 2
877 is prime because no prime up to ā877 ā 29.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 151st prime is close to 151 Ć ln(151) ā 758, and here it is 877.
- 4
877 has no twin: neither 875 nor 879 is prime.
Primes around the 151st
| Position | Prime | Gap from the previous |
|---|---|---|
| 148 | 857 | 4 |
| 149 | 859 | 2 |
| 150 | 863 | 4 |
| 151 | 877 | 14 |
| 152 | 881 | 4 |
| 153 | 883 | 2 |
| 154 | 887 | 4 |
Questions
What is the 151st prime number?
877.
Which prime number is 877?
877 is the 151st prime number.
What is the sum of the first 151 primes?
60,146.