What is the 8543rd prime number?
The 8543rd prime number is 87991. The next prime is 88001 (a gap of 10) and the one before is 87977.
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 8543rd one is 87991.
- 2
87991 is prime because no prime up to ā87991 ā 296.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8543rd prime is close to 8543 Ć ln(8543) ā 77339, and here it is 87991.
- 4
87991 has no twin: neither 87989 nor 87993 is prime.
Primes around the 8543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8540 | 87961 | 2 |
| 8541 | 87973 | 12 |
| 8542 | 87977 | 4 |
| 8543 | 87991 | 14 |
| 8544 | 88001 | 10 |
| 8545 | 88003 | 2 |
| 8546 | 88007 | 4 |
Questions
What is the 8543rd prime number?
87991.
Which prime number is 87991?
87991 is the 8543rd prime number.
What is the sum of the first 8543 primes?
355,786,074.