RosettaCodeData/Task/Euclid-Mullin-sequence/ALGOL-68/euclid-mullin-sequence.alg
2023-07-01 13:44:08 -04:00

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BEGIN # find elements of the Euclid-Mullin sequence: starting from 2, #
# the next element is the smallest prime factor of 1 + the product #
# of the previous elements #
print( ( " 2" ) );
LONG LONG INT product := 2;
FROM 2 TO 16 DO
LONG LONG INT next := product + 1;
# find the first prime factor of next #
LONG LONG INT p := 3;
BOOL found := FALSE;
WHILE p * p <= next AND NOT ( found := next MOD p = 0 ) DO
p +:= 2
OD;
IF found THEN next := p FI;
print( ( " ", whole( next, 0 ) ) );
product *:= next
OD
END