sage: v = (n^2 for n in xrange(10000000)) sage: v.next() 0 sage: v.next() 1 sage: v.next() 4
sage: w = (4*p + 1 for p in Primes() if is_prime(4*p+1)) sage: w # in the next line, 0xb0853d6c is a random 0x number <generator object at 0xb0853d6c> sage: w.next() 13 sage: w.next() 29 sage: w.next() 53
Certain rings, e.g., finite fields and the integers have iterators associated to them:
sage: [x for x in GF(7)] [0, 1, 2, 3, 4, 5, 6] sage: W = ((x,y) for x in ZZ for y in ZZ) sage: W.next() (0, 0) sage: W.next() (0, 1) sage: W.next() (0, -1)
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