What is the 1093rd prime number?
The 1093rd prime number is 8761. The next prime is 8779 (a gap of 18) and the one before is 8753.
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 1093rd one is 8761.
- 2
8761 is prime because no prime up to ā8761 ā 93.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1093rd prime is close to 1093 Ć ln(1093) ā 7647, and here it is 8761.
- 4
8761 has no twin: neither 8759 nor 8763 is prime.
Primes around the 1093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1090 | 8741 | 4 |
| 1091 | 8747 | 6 |
| 1092 | 8753 | 6 |
| 1093 | 8761 | 8 |
| 1094 | 8779 | 18 |
| 1095 | 8783 | 4 |
| 1096 | 8803 | 20 |
Questions
What is the 1093rd prime number?
8761.
Which prime number is 8761?
8761 is the 1093rd prime number.
What is the sum of the first 1093 primes?
4,460,672.