What is the 141st prime number?
The 141st prime number is 811. The next prime is 821 (a gap of 10) and the one before is 809.
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 141st one is 811.
- 2
811 is prime because no prime up to ā811 ā 28.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 141st prime is close to 141 Ć ln(141) ā 698, and here it is 811.
- 4
811 is a twin prime: 809 and 811 are both prime.
Primes around the 141st
| Position | Prime | Gap from the previous |
|---|---|---|
| 138 | 787 | 14 |
| 139 | 797 | 10 |
| 140 | 809 | 12 |
| 141 | 811 | 2 |
| 142 | 821 | 10 |
| 143 | 823 | 2 |
| 144 | 827 | 4 |
Questions
What is the 141st prime number?
811.
Which prime number is 811?
811 is the 141st prime number.
What is the sum of the first 141 primes?
51,698.