What is the 8542nd prime number?
The 8542nd prime number is 87977. The next prime is 87991 (a gap of 14) and the one before is 87973.
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 8542nd one is 87977.
- 2
87977 is prime because no prime up to ā87977 ā 296.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8542nd prime is close to 8542 Ć ln(8542) ā 77329, and here it is 87977.
- 4
87977 has no twin: neither 87975 nor 87979 is prime.
Primes around the 8542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8539 | 87959 | 16 |
| 8540 | 87961 | 2 |
| 8541 | 87973 | 12 |
| 8542 | 87977 | 4 |
| 8543 | 87991 | 14 |
| 8544 | 88001 | 10 |
| 8545 | 88003 | 2 |
Questions
What is the 8542nd prime number?
87977.
Which prime number is 87977?
87977 is the 8542nd prime number.
What is the sum of the first 8542 primes?
355,698,083.